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[QUOTE=roger;137987]I figured out the A-value for the y=A*n^2, but I got a different answer than the 0.24 as suggested earlier.
[/QUOTE] Roger, back after a lot of travelling. How did you calculate your values? The 0.24 conjecture is the median value over sets of 50 consecutive n values with almost all A in the range 50% -200% of the conjected 0.24 |
I took the trendline values of 0.3008*n^1.9545 to calculate the y-value for n=1.9545, then divided that y-value by the squared n-value (of k*2^n+-1).
Here's the steps I took in case I made an error: y=0.3008*n[sup]1.9545[/sup] y=A*n[sup]2[/sup] A*n[sup]2[/sup] = 0.3008*n[sup]1.9545[/sup] [0.3008*n[sup]1.9545[/sup]]/n[sup]2[/sup] = A I used the last line of calculation on each n-value in k*2^n+-1, to come up with an A-value for each n-value in the curve A*n[sup]2[/sup]. The last data point (n=8000; the found twins) has an A-value of 0.19984. I think I did something different than you though, because my values don't vary too much, they just follow an almost straight line (I posted the graph, and every thousand or so A-values a couple replies back). |
[QUOTE=roger;138309]I took the trendline values of 0.3008*n^1.9545 to calculate the y-value for n=1.9545, then divided that y-value by the squared n-value (of k*2^n+-1).
Here's the steps I took in case I made an error: y=0.3008*n[sup]1.9545[/sup] y=A*n[sup]2[/sup] A*n[sup]2[/sup] = 0.3008*n[sup]1.9545[/sup] [0.3008*n[sup]1.9545[/sup]]/n[sup]2[/sup] = A I used the last line of calculation on each n-value in k*2^n+-1, to come up with an A-value for each n-value in the curve A*n[sup]2[/sup]. The last data point (n=8000; the found twins) has an A-value of 0.19984. I think I did something different than you though, because my values don't vary too much, they just follow an almost straight line (I posted the graph, and every thousand or so A-values a couple replies back).[/QUOTE] OK, understood, but don't think valid, as the best fit is arbitrary. |
Could the program we're using be modified slightly to do a large number of isolated k-values, for a large range of n-values?
I'm also trying to do the 100 primes by n=10,000 thing, and I think this would speed things up quite a bit for the higher n-values. The payam-base program could do the first 1000 or 2000 n-values, and spit out the k's that made it through. These would go to pfgw for n=1000 or 2000-5000, and the remaining would go through the modified cllr and .bat files we're using here. It would be a lot more efficient than pfgw-testing the ones payam-base spits out to n=5000, then sieving for each of those to n=10000. Also, is there a way to get the .bat files to only output the primes that it's found? It would save me a lot of time as well :smile: I'm guessing it would be a modification of this line: DO @echo %%j %%i >>all_twins.txt Thanks! |
8000<n<8825 is done :smile: which makes for 95% of the first 10000 n-values complete :yay:
I think I'll finish off the 9500<n<10000, then just work on individual n-values. Update on individual n-value search: [CODE]n= done to k= (Millions) Primes in range 33200 227.9 34528 56.5 34543 5 12 40000 0.74 40001 5.75 40002 20 40003 10.68 2 40004 50 49 40011 5 40012 5 40013 5 45321 5 5 50000 1.17 1 50001 1 1 50002 1 50003 2 1 50004 1M<k<3M 1 50005 7.53 9 57557 5 5 59729 5 5 59747 18.83 16 59753 5 1 59771 5 3 61855 1 1 62627 30 35 63337 5 3 67777 5 4 70207 5 1 71899 5 4 72727 10 8 73237 5 3 75000 100 106 75075 34.05 36 [/CODE] [CODE]8000 5305077 8001 116835 8002 13267893 8003 7628139 8004 32708637 8005 19565691 8006 43954287 8007 4668405 8008 9618897 8009 4503681 8010 51747063 8011 2265891 8012 28765485 8013 38722365 8014 3536367 8015 155562081 8016 10201797 8017 39236769 8018 15184977 8019 11870871 8020 1652643 8021 20338041 8022 66131433 8023 7664589 8024 62891157 8025 75690135 8026 7431423 8027 8503485 8028 18563745 8029 5103699 8030 46110975 8031 7197375 8032 14681973 8033 13562445 8034 10455933 8035 20794515 8036 40183755 8037 12784545 8038 40727583 8039 35693031 8040 39336195 8041 27452979 8042 7869273 8043 20103729 8044 5811807 8045 13485111 8046 777285 8047 7634535 8048 26775867 8049 181659 8050 2644515 8051 30709059 8052 5083095 8053 12293709 8054 2535477 8055 44977335 8056 7987203 8057 21004395 8058 17424405 8059 12132951 8060 69927 8061 45886635 8062 5752017 8063 38437749 8064 16087467 8065 1228995 8066 24617667 8067 7084929 8068 34696605 8069 12403215 8070 22265175 8071 2265039 8072 6848523 8073 3167505 8074 270975 8075 10121859 8076 3426843 8077 5105799 8078 23024397 8079 13972599 8080 4211985 8081 3730299 8082 68457807 8083 26173509 8084 24590607 8085 23209665 8086 33507507 8087 14393331 8088 45026763 8089 65198565 8090 2413053 8091 80603709 8092 702357 8093 41624031 8094 60865005 8095 8289069 8096 30374175 8097 1731279 8098 13048173 8099 6727071 8100 78336267 8101 5403879 8102 116012847 8103 18761649 8104 11778807 8105 11635575 8106 8601057 8107 54038175 8108 49640193 8109 43980375 8110 19115445 8111 8250585 8112 19678785 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8333 1878591 8334 68432523 8335 3975 8336 30717933 8337 46081341 8338 18787005 8339 21851505 8340 357123 8341 3070695 8342 26477235 8343 68304645 8344 72938847 8345 8493615 8346 28589823 8347 31291869 8348 48768465 8349 3839385 8350 68215425 8351 8231565 8352 2603487 8353 11207205 8354 3866517 8355 5003469 8356 8060445 8357 6186825 8358 14391345 8359 12833949 8360 72062925 8361 15525795 8362 10337145 8363 1208451 8364 18342837 8365 30979599 8366 19939479 8367 17000355 8368 17000355 8369 456231 8370 29334237 8371 4365915 8372 1418613 8373 10022565 8374 26378133 8375 24507711 8376 40826355 8377 16424385 8378 4305255 8379 24421281 8380 6089925 8381 1453719 8382 74252895 8383 52780029 8384 6538773 8385 5398719 8386 24456333 8387 1812975 8388 39971223 8389 19576425 8390 24512145 8391 10092471 8392 16538163 8393 1251921 8394 5840607 8395 17301249 8396 19043913 8397 1992711 8398 4034703 8399 56054775 8400 1976133 8401 28811265 8402 35487315 8403 57832071 8404 25289193 8405 1878561 8406 13417227 8407 3671859 8408 27824985 8409 50430975 8410 8185533 8411 58723185 8412 1034793 8413 46264449 8414 14289957 8415 16473669 8416 37210605 8417 78662661 8418 24287763 8419 47106921 8420 78626757 8421 92490015 8422 6170247 8423 1273215 8424 9612873 8425 585909 8426 23949177 8427 43515195 8428 46579167 8429 53093925 8430 43522965 8431 4694901 8432 63138495 8433 3922569 8434 24699747 8435 74689875 8436 11711535 8437 65234031 8438 20867505 8439 6598245 8440 9331923 8441 6745281 8442 4773153 8443 25941399 8444 31320915 8445 805275 8446 2028525 8447 22960119 8448 4389495 8449 16404165 8450 77119203 8451 45194751 8452 15673377 8453 109996215 8454 12309015 8455 40887261 8456 3810807 8457 9253575 8458 6572355 8459 10804095 8460 30168177 8461 56747889 8462 8279883 8463 2138049 8464 13267365 8465 81371349 8466 34621275 8467 1836039 8468 15817497 8469 3219681 8470 13502937 8471 2599299 8472 75684807 8473 12904611 8474 37666065 8475 51288501 8476 7366317 8477 24995169 8478 10991277 8479 8926959 8480 17369883 8481 27327225 8482 13813905 8483 30361521 8484 13936167 8485 47839245 8486 1303827 8487 13716939 8488 3182685 8489 25736145 8490 22555113 8491 12388251 8492 11240757 8493 16340649 8494 47711697 8495 14692521 8496 45791907 8497 52261071 8498 50037267 8499 6609669 8500 5259945 8501 31146189 8502 30920697 8503 18142479 8504 14335005 8505 41608119 8506 13202607 8507 15451401 8508 38014065 8509 5719581 8510 16094373 8511 216681 8512 48602295 8513 27176289 8514 136865127 8515 7409661 8516 17850867 8517 43404879 8518 5423325 8519 72675639 8520 18862083 8521 79789809 8522 9422217 8523 4347681 8524 27476415 8525 4259781 8526 14946393 8527 325935 8528 3538965 8529 459 8530 1599957 8531 10806741 8532 53074077 8533 1998879 8534 54626235 8535 8111541 8536 17565723 8537 3219159 8538 9588423 8539 47103369 8540 10698177 8541 69034929 8542 65498847 8543 6939339 8544 38230467 8545 1120551 8546 894837 8547 53718021 8548 41640237 8549 31920255 8550 7667445 8551 25214355 8552 15513513 8553 8907225 8554 2699643 8555 54141459 8556 4204263 8557 5941035 8558 5505807 8559 5887815 8560 29944227 8561 16110489 8562 12518103 8563 31410051 8564 24088785 8565 2365521 8566 7482153 8567 22780965 8568 67079967 8569 11461071 8570 54094923 8571 1181049 8572 4841535 8573 13600119 8574 82618155 8575 21683919 8576 4216023 8577 19381275 8578 207953787 8579 11755425 8580 14829195 8581 12405681 8582 9549357 8583 41296509 8584 73885215 8585 371871 8586 44002485 8587 194559 8588 5880687 8589 1861629 8590 24656703 8591 21633009 8592 85353303 8593 16869861 8594 24424245 8595 542481 8596 4919133 8597 24702261 8598 44248935 8599 14494635 8600 10986945 8601 12258309 8602 9941493 8603 31788639 8604 3000573 8605 27149355 8606 67216563 8607 9086721 8608 44047737 8609 19483425 8610 10071507 8611 52115439 8612 41034795 8613 42778599 8614 24365073 8615 7415829 8616 60942003 8617 26516271 8618 14222715 8619 11699025 8620 23939043 8621 33291801 8622 35103495 8623 87999759 8624 12241215 8625 65144901 8626 58219413 8627 30600849 8628 8129625 8629 51625551 8630 102168777 8631 123697299 8632 51005025 8633 2597595 8634 39422805 8635 3270735 8636 376215 8637 8402271 8638 68406393 8639 59321895 8640 13297587 8641 27457845 8642 32808345 8643 26347821 8644 22141047 8645 49696035 8646 37144635 8647 21844971 8648 11411775 8649 22005429 8650 4886523 8651 5712645 8652 7812777 8653 20041551 8654 28234185 8655 3658239 8656 21023787 8657 9240585 8658 26600733 8659 79880985 8660 24250785 8661 65049621 8662 31301205 8663 3364911 8664 54539973 8665 4919931 8666 18569643 8667 10936215 8668 54736683 8669 21221955 8670 188403 8671 6179469 8672 44315685 8673 26957205 8674 12548013 8675 35478099 8676 32284815 8677 59840445 8678 4709127 8679 11038449 8680 51989397 8681 61982511 8682 38621427 8683 136318509 8684 17042697 8685 10648431 8686 2812395 8687 16144311 8688 8973867 8689 84072249 8690 20798193 8691 11791971 8692 10201107 8693 5989665 8694 24458835 8695 61885059 8696 67397607 8697 10960791 8698 43034355 8699 41796429 8700 49173495 8701 62666835 8702 2374053 8703 33133551 8704 13072767 8705 23764569 8706 1008207 8707 32826795 8708 35315637 8709 11019759 8710 1885833 8711 51045819 8712 18786525 8713 8675169 8714 29523225 8715 73818981 8716 21156225 8717 2402655 8718 1909533 8719 17718939 8720 17838345 8721 6022179 8722 57221913 8723 1415739 8724 10121247 8725 8881185 8726 11296107 8727 21159639 8728 94777773 8729 21085215 8730 23174883 8731 2497341 8732 24688665 8733 2481441 8734 61387263 8735 20211051 8736 12360465 8737 41886399 8738 103927305 8739 13403919 8740 14398113 8741 25751145 8742 13971627 8743 2744301 8744 124832637 8745 3605775 8746 50926605 8747 13423245 8748 12740697 8749 57528471 8750 23417205 8751 5311695 8752 98530647 8753 19662135 8754 22449003 8755 31836141 8756 42377607 8757 157961265 8758 69899523 8759 36807855 8760 663357 8761 7645785 8762 7967877 8763 20319381 8764 19332243 8765 20879895 8766 469203 8767 44646111 8768 63667467 8769 32290059 8770 2877147 8771 16574901 8772 70427817 8773 27288351 8774 14612487 8775 48854691 8776 31042755 8777 51972915 8778 48442245 8779 36103689 8780 43699473 8781 14672775 8782 8133105 8783 49896921 8784 73155063 8785 75841659 8786 23700093 8787 5918979 8788 2994285 8789 116199 8790 16821633 8791 15842685 8792 10983273 8793 17450199 8794 12763143 8795 4665885 8796 11918727 8797 6607641 8798 18846465 8799 5139075 8800 26432877 8801 24886191 8802 12165267 8803 14589405 8804 265887 8805 184665 8806 9770847 8807 50161041 8808 9949797 8809 20616189 8810 84128913 8811 49282905 8812 8996883 8813 4226979 8814 29654763 8815 64439835 8816 65732715 8817 12215535 8818 4420743 8819 6962631 8820 52670163 8821 19334421 8822 24521805 8823 40084119 8824 19915413 [/CODE] |
updated the page with first twin-k with new data (from roger upto n=9500) and new images.
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5 more n's to find twins for, then we're done to n=10,000!
I think this milestone deserves a :et_::paul::maybeso::banana::george: Will post full excel document (2MB) once completed. It includes a lowest twin graph (logarithmic); deviation from mean (min/max); jumping champions (68 so far); average twin k-value; A-value for curve=A*2^n (at n=10000 A=0.20206). After this, I will work on some higher n-values (in the range of 50k-80k I think) and may help more in smaller chunks to further this search. |
COMPLETION
Here's the file: [url]http://www.freedrive.com/file/584861,twins_0-10k.xlsx[/url] (hope the link works this time)
and list [CODE]8825 53985 8826 68050017 8827 62526399 8828 25070475 8829 40797285 8830 28716597 8831 55779669 8832 43768917 8833 13080705 8834 15535215 8835 7794045 8836 69176283 8837 19902471 8838 6973995 8839 54964209 8840 10556637 8841 14364291 8842 61674003 8843 102743385 8844 62206893 8845 72528861 8846 32462637 8847 13249311 8848 20290683 8849 8245545 8850 51341295 8851 57979899 8852 51157893 8853 9294801 8854 76862715 8855 41153889 8856 78376587 8857 17023071 8858 57208053 8859 28559535 8860 6263727 8861 1819761 8862 2760147 8863 15861621 8864 36867495 8865 22249665 8866 96715725 8867 28349985 8868 5299593 8869 49815921 8870 3532437 8871 70049451 8872 115732857 8873 30914229 8874 1974807 8875 25387179 8876 75516627 8877 6480891 8878 35197605 8879 11031405 8880 242433 8881 20599371 8882 11318457 8883 7972659 8884 21252645 8885 25281399 8886 1404273 8887 34766199 8888 7747083 8889 31583361 8890 21548787 8891 11720871 8892 16413327 8893 22426509 8894 38121045 8895 12249135 8896 7666617 8897 28791399 8898 7845687 8899 944421 8900 88273875 8901 27186381 8902 16478265 8903 38443749 8904 44399673 8905 15437595 8906 8599755 8907 16837341 8908 10255575 8909 12679479 8910 30533703 8911 48760689 8912 64118523 8913 33378741 8914 1811763 8915 74246661 8916 30787923 8917 58302411 8918 12070233 8919 28396965 8920 10365747 8921 43713831 8922 2683713 8923 6123819 8924 21924405 8925 37286025 8926 13681743 8927 4214211 8928 9472125 8929 7934415 8930 32492685 8931 42495399 8932 5932227 8933 2011029 8934 18296385 8935 2827281 8936 4097097 8937 13373595 8938 1700697 8939 68637075 8940 5487213 8941 19555989 8942 53712705 8943 17376441 8944 6187785 8945 7577115 8946 2470923 8947 16263351 8948 22088157 8949 134662971 8950 50285937 8951 21287571 8952 47523375 8953 47098779 8954 48295785 8955 44058921 8956 77989953 8957 41319015 8958 132678933 8959 5625711 8960 27925995 8961 13636131 8962 3215205 8963 25938861 8964 80008803 8965 6910791 8966 10626903 8967 18874905 8968 77448747 8969 60906339 8970 12085047 8971 21217635 8972 21682065 8973 4806441 8974 11846247 8975 95641959 8976 56827773 8977 18670911 8978 40774563 8979 50962461 8980 75868785 8981 16251411 8982 14228925 8983 15479169 8984 23158425 8985 10723155 8986 1631253 8987 36551361 8988 8768595 8989 31560381 8990 36715743 8991 26454825 8992 10763403 8993 32534691 8994 42716307 8995 33068121 8996 19736307 8997 36551361 8998 41989563 8999 7648311 9000 16253883 9001 592479 9002 10951143 9003 11492205 9004 38527197 9005 48875571 9006 14868093 9007 9954831 9008 2240895 9009 91813215 9010 45590673 9011 22883445 9012 31992153 9013 48757191 9014 47065887 9015 7519305 9016 2613723 9017 5205801 9018 11990247 9019 1372041 9020 69731073 9021 81694809 9022 12887037 9023 26801589 9024 81288303 9025 31896549 9026 30210015 9027 3761655 9028 3665397 9029 54002805 9030 7493475 9031 13900965 9032 19887015 9033 3292251 9034 5245203 9035 24489429 9036 1817757 9037 36339585 9038 7865637 9039 54580041 9040 49249173 9041 11732139 9042 23580267 9043 21047025 9044 71641893 9045 28858821 9046 15229215 9047 54549369 9048 704847 9049 52586739 9050 35985345 9051 5539179 9052 8212623 9053 121248375 9054 26804535 9055 26258325 9056 6261093 9057 43713789 9058 6113115 9059 28706055 9060 8058393 9061 58503411 9062 47537343 9063 60421029 9064 21584955 9065 4551561 9066 45323805 9067 4636311 9068 56425155 9069 16870221 9070 18931113 9071 11150835 9072 10929747 9073 84384225 9074 9385047 9075 13590405 9076 19368603 9077 14365071 9078 31970487 9079 52709445 9080 15245733 9081 4864461 9082 26837475 9083 29197011 9084 25362087 9085 30817089 9086 5457057 9087 29617539 9088 11443185 9089 26654229 9090 32647095 9091 11573961 9092 5496333 9093 58067751 9094 57356067 9095 21730701 9096 47460483 9097 2862861 9098 644715 9099 30462201 9100 6643167 9101 29196465 9102 15289803 9103 14414331 9104 15780993 9105 15085161 9106 12435753 9107 1740669 9108 17755407 9109 9013839 9110 18944997 9111 47873199 9112 17486475 9113 54111429 9114 75054717 9115 17539509 9116 15045933 9117 1695969 9118 37124277 9119 9662631 9120 5335515 9121 40837125 9122 4543137 9123 25252491 9124 6799983 9125 70810419 9126 10165617 9127 9166821 9128 170299143 9129 25950045 9130 29105355 9131 6948861 9132 8504337 9133 80252391 9134 9768447 9135 4449315 9136 7557465 9137 6252015 9138 30580167 9139 13823145 9140 150852957 9141 3232581 9142 24157203 9143 1319991 9144 959823 9145 6096165 9146 16042293 9147 89227131 9148 3927897 9149 2017581 9150 37696305 9151 51244965 9152 9282447 9153 81896565 9154 61593 9155 26431101 9156 53101773 9157 9733491 9158 31696533 9159 18328959 9160 12496035 9161 63338895 9162 28536375 9163 17301741 9164 1594695 9165 3600441 9166 72167583 9167 41843859 9168 94229193 9169 18327525 9170 27264705 9171 26513805 9172 71519433 9173 29914125 9174 35436705 9175 38871219 9176 70540215 9177 8400369 9178 38414637 9179 94033005 9180 11187195 9181 10905375 9182 5438955 9183 17847921 9184 2651613 9185 75208245 9186 170246823 9187 13765929 9188 60807915 9189 18638835 9190 31037727 9191 19493331 9192 43254183 9193 7417671 9194 24573483 9195 271913295 9196 13554963 9197 3810561 9198 13499073 9199 7863585 9200 72427545 9201 19255149 9202 58890837 9203 87883425 9204 1596303 9205 287889 9206 31429257 9207 43082895 9208 43066395 9209 35906241 9210 23894085 9211 26291889 9212 18403953 9213 97510635 9214 67858245 9215 47137341 9216 16471695 9217 53918181 9218 4271757 9219 2457789 9220 32513517 9221 4533459 9222 29157513 9223 12134535 9224 85448133 9225 8238645 9226 13696923 9227 24691419 9228 81051393 9229 19580769 9230 4144365 9231 21547845 9232 12141453 9233 6338319 9234 29101137 9235 100092501 9236 20046447 9237 30071199 9238 19253955 9239 9216039 9240 43924107 9241 1943709 9242 17243415 9243 29016111 9244 18357255 9245 6451791 9246 7168443 9247 29394045 9248 64344993 9249 14067939 9250 30561435 9251 13843521 9252 6719745 9253 12926541 9254 60053493 9255 98411901 9256 829257 9257 465081 9258 705957 9259 840099 9260 10796073 9261 35913075 9262 16542183 9263 7404345 9264 20427117 9265 29404815 9266 12512475 9267 9923835 9268 7055025 9269 16536051 9270 21819495 9271 3125925 9272 15168297 9273 82121139 9274 38934933 9275 7064799 9276 35627865 9277 26106975 9278 8065077 9279 22332795 9280 3576687 9281 57753111 9282 11179287 9283 17315901 9284 5166195 9285 28271619 9286 48208005 9287 33553239 9288 2097405 9289 6964851 9290 62129865 9291 14019225 9292 1412775 9293 21915639 9294 6833523 9295 12444861 9296 50648247 9297 36981081 9298 61552983 9299 68284041 9300 3654957 9301 2969139 9302 23624427 9303 47249109 9304 19172817 9305 39419919 9306 208113 9307 12284481 9308 11940825 9309 48584295 9310 10044813 9311 11789679 9312 53130873 9313 92684529 9314 16936443 9315 53388195 9316 59556495 9317 27496941 9318 31932033 9319 540171 9320 18538275 9321 161022501 9322 1379355 9323 38652141 9324 6380187 9325 9230031 9326 42039855 9327 29266725 9328 51310737 9329 14189055 9330 35215983 9331 2939781 9332 27952953 9333 3980961 9334 54739977 9335 15801639 9336 21514173 9337 9262581 9338 9227583 9339 686361 9340 9329643 9341 11555145 9342 48276057 9343 38968509 9344 42627717 9345 14808381 9346 68426127 9347 175139721 9348 97519425 9349 6546141 9350 92369823 9351 103409919 9352 16733757 9353 52324821 9354 1847337 9355 48287175 9356 38278023 9357 60051135 9358 42600153 9359 6747975 9360 79407363 9361 5302899 9362 53088447 9363 21880611 9364 27633027 9365 99383931 9366 15791895 9367 17019639 9368 66339897 9369 164250075 9370 101410185 9371 9509361 9372 18420783 9373 17294181 9374 28687425 9375 28700985 9376 17812725 9377 25716495 9378 44931105 9379 7566159 9380 20296317 9381 40375305 9382 17790243 9383 95868585 9384 23210793 9385 90021885 9386 2251437 9387 21308709 9388 66802497 9389 13460979 9390 136147827 9391 1364679 9392 11434935 9393 2742009 9394 33407745 9395 39289575 9396 168694827 9397 20253171 9398 14997783 9399 41091285 9400 13935873 9401 9728085 9402 122754627 9403 59597001 9404 9473673 9405 1397181 9406 26015667 9407 38151459 9408 4927965 9409 10930689 9410 4798497 9411 50882571 9412 46543167 9413 48840441 9414 7770045 9415 72507591 9416 19887717 9417 3639465 9418 7209405 9419 52404381 9420 20564955 9421 10208505 9422 18655683 9423 98196525 9424 8701665 9425 12808869 9426 29678253 9427 7234575 9428 56349807 9429 17911779 9430 20313267 9431 52434591 9432 9584697 9433 19397511 9434 73169673 9435 52159965 9436 126249303 9437 1118205 9438 8415855 9439 42290625 9440 26674743 9441 71125395 9442 32745783 9443 15045285 9444 3928815 9445 28762659 9446 69414363 9447 5209419 9448 46894785 9449 43092741 9450 13129527 9451 42573321 9452 32957175 9453 72782301 9454 2261343 9455 50939829 9456 50578173 9457 23556771 9458 111220803 9459 25874949 9460 44284077 9461 2249541 9462 1124253 9463 331911 9464 34024803 9465 24801159 9466 67879203 9467 29531295 9468 20882607 9469 30305709 9470 7248423 9471 2464971 9472 35179485 9473 3314739 9474 28195767 9475 268689 9476 11377923 9477 11454345 9478 8751195 9479 23342745 9480 10482087 9481 4663239 9482 60449103 9483 18290391 9484 94493877 9485 23697531 9486 26357373 9487 79446585 9488 524997 9489 44920701 9490 18010767 9491 94409841 9492 89775147 9493 34001241 9494 13698195 9495 31982559 9496 199097823 9497 120923835 9498 2777523 9499 12099381 9500 3962655 9501 29595039 9502 18279597 9503 8396511 9504 70564695 9505 25864809 9506 43187607 9507 7227981 9508 5779755 9509 11835999 9510 3508215 9511 42549135 9512 7792413 9513 70599015 9514 114117963 9515 21287829 9516 33825627 9517 30436905 9518 62785437 9519 28757745 9520 28073823 9521 41672799 9522 37821597 9523 3523281 9524 38080827 9525 798831 9526 21325863 9527 49149699 9528 16525215 9529 4230879 9530 126102843 9531 9203205 9532 114228897 9533 23471175 9534 6239865 9535 31319535 9536 95259615 9537 31697655 9538 25240587 9539 1204671 9540 103005315 9541 16930761 9542 81026133 9543 27177939 9544 25100895 9545 16926729 9546 5236173 9547 49539699 9548 60276633 9549 9874329 9550 26668455 9551 42109539 9552 25342203 9553 38560611 9554 76486773 9555 1288809 9556 39051885 9557 3182739 9558 149770623 9559 9387285 9560 57238245 9561 13015581 9562 16153257 9563 25854081 9564 13386357 9565 1197069 9566 108644745 9567 55116621 9568 5929545 9569 25324971 9570 9926655 9571 55225785 9572 6309477 9573 4251579 9574 19800633 9575 59521641 9576 10262397 9577 21002925 9578 62826807 9579 2147331 9580 44530725 9581 3509961 9582 21260937 9583 39617745 9584 89443857 9585 66137529 9586 6360825 9587 5938509 9588 121756773 9589 40706541 9590 14308407 9591 37848081 9592 1084683 9593 25314891 9594 20659515 9595 16581165 9596 3823905 9597 12144219 9598 8030973 9599 3303279 9600 9138477 9601 85084659 9602 1766013 9603 80536965 9604 17197053 9605 75333951 9606 13396533 9607 46338255 9608 5221917 9609 7973049 9610 146510553 9611 111073479 9612 64784163 9613 41724615 9614 4355733 9615 8721309 9616 9161865 9617 100495455 9618 649233 9619 30730191 9620 52460577 9621 82886529 9622 72552633 9623 68522265 9624 145471917 9625 20134449 9626 1372857 9627 14390031 9628 63105135 9629 39695271 9630 24763293 9631 15995769 9632 59902347 9633 32408679 9634 38735613 9635 24966735 9636 24100065 9637 46368531 9638 9893475 9639 673311 9640 26760903 9641 46113075 9642 46881753 9643 54735975 9644 32462727 9645 12158865 9646 21356595 9647 139624989 9648 633033 9649 17019309 9650 83194665 9651 1244829 9652 2337663 9653 56339511 9654 65400015 9655 21552909 9656 4093323 9657 8202705 9658 38845977 9659 20764281 9660 9734463 9661 36460305 9662 123091557 9663 28317069 9664 7072995 9665 3509499 9666 84077667 9667 35290011 9668 34144593 9669 30950169 9670 5549385 9671 32220555 9672 6852417 9673 19497855 9674 20980305 9675 1801485 9676 109912605 9677 89117049 9678 9901785 9679 39649611 9680 22897497 9681 19225395 9682 71762847 9683 9374781 9684 15434793 9685 30178839 9686 7740513 9687 83823885 9688 521775 9689 7770399 9690 7688037 9691 77329611 9692 84190203 9693 900231 9694 34183143 9695 22020201 9696 5340303 9697 17933355 9698 50882037 9699 5147775 9700 19580763 9701 20499171 9702 164243823 9703 76081455 9704 362457 9705 60085779 9706 3403503 9707 13372671 9708 4250727 9709 208362015 9710 119216187 9711 17649699 9712 28584285 9713 35324409 9714 5066145 9715 46998561 9716 26923977 9717 8752419 9718 36748497 9719 92467959 9720 20921637 9721 83249301 9722 76948467 9723 11972595 9724 44363205 9725 142920135 9726 10008243 9727 23513349 9728 32125257 9729 121080339 9730 55917657 9731 40087575 9732 17918355 9733 9329091 9734 10867227 9735 54939525 9736 16352307 9737 3049959 9738 140572383 9739 16514055 9740 9459807 9741 2699811 9742 37167327 9743 38725149 9744 55293765 9745 31815891 9746 5997603 9747 15980535 9748 41128173 9749 19421175 9750 158787543 9751 3297819 9752 27630537 9753 60441819 9754 1762353 9755 293475 9756 28820025 9757 6776001 9758 26379615 9759 2622855 9760 3551385 9761 43999761 9762 129460755 9763 37544355 9764 6052683 9765 51092619 9766 677235 9767 54987351 9768 40051485 9769 12067131 9770 29739717 9771 12005319 9772 32313387 9773 9502359 9774 132765747 9775 27414801 9776 25033803 9777 143832531 9778 1655253 9779 29252241 9780 13561245 9781 5507901 9782 12735633 9783 66199455 9784 2047533 9785 32354655 9786 9003705 9787 9944691 9788 80090283 9789 172982211 9790 3723273 9791 53511795 9792 3267273 9793 33947961 9794 25715283 9795 67333929 9796 57391635 9797 40524735 9798 21102345 9799 63475515 9800 47025597 9801 24427965 9802 41312985 9803 6162981 9804 10172685 9805 11163711 9806 15023667 9807 6389085 9808 14435757 9809 68134149 9810 64667067 9811 58207875 9812 39456477 9813 32369535 9814 15003015 9815 46314111 9816 19343163 9817 25143435 9818 21057225 9819 38505159 9820 20644827 9821 69099285 9822 70951797 9823 3949959 9824 13938303 9825 21565551 9826 14112243 9827 88983759 9828 47321283 9829 18000879 9830 4978707 9831 31071141 9832 4232943 9833 103442535 9834 33218325 9835 1755081 9836 5785737 9837 183196851 9838 111496947 9839 99114855 9840 38864193 9841 9821019 9842 5919375 9843 104536155 9844 117363 9845 5602311 9846 7734207 9847 104221599 9848 60186003 9849 28723929 9850 23838327 9851 36643599 9852 18007407 9853 2972349 9854 56477337 9855 66695709 9856 160469967 9857 2556525 9858 30864195 9859 31173885 9860 11541867 9861 62474289 9862 34856607 9863 19644009 9864 10052163 9865 87669819 9866 3489837 9867 59025675 9868 8532603 9869 33891 9870 10650273 9871 93785715 9872 11591013 9873 20354049 9874 25920663 9875 19665939 9876 59291643 9877 47076519 9878 129020823 9879 11104935 9880 30697287 9881 22924689 9882 3800583 9883 14549799 9884 48443997 9885 93014595 9886 168718293 9887 31405959 9888 50408907 9889 443961 9890 76510857 9891 20364615 9892 78118713 9893 14871825 9894 125393595 9895 17797725 9896 27545553 9897 17157441 9898 34869837 9899 50345901 9900 1538763 9901 77139831 9902 337137 9903 4508025 9904 3714417 9905 13789815 9906 136994475 9907 5878005 9908 8066325 9909 2479701 9910 41459763 9911 21333885 9912 80839425 9913 17644839 9914 21720567 9915 46843569 9916 20841303 9917 20661789 9918 41167737 9919 105651639 9920 38832825 9921 20859351 9922 45096357 9923 64778841 9924 66181353 9925 5648931 9926 5060157 9927 61895619 9928 127001895 9929 82610121 9930 92261277 9931 4439889 9932 33980055 9933 10109811 9934 82866993 9935 188381991 9936 57798387 9937 15941715 9938 73967655 9939 50674041 9940 32018043 9941 14024781 9942 140805 9943 38011521 9944 3534003 9945 11966871 9946 2565087 9947 48265461 9948 144404523 9949 36507375 9950 117980643 9951 10833459 9952 7274295 9953 1044189 9954 8630577 9955 18200919 9956 24357033 9957 16821075 9958 39798795 9959 117501219 9960 159312057 9961 84249165 9962 69378795 9963 68651109 9964 34915977 9965 37616229 9966 39764403 9967 22661379 9968 12328575 9969 6274635 9970 7755645 9971 57090561 9972 51452823 9973 24528015 9974 17098623 9975 302811 9976 5584677 9977 113292351 9978 8199735 9979 15732519 9980 38306517 9981 12665181 9982 33114723 9983 12378159 9984 5886513 9985 51790359 9986 119061393 9987 4808199 9988 32248263 9989 63204765 9990 65503377 9991 68865069 9992 16789905 9993 35536371 9994 48459945 9995 35371251 9996 31524777 9997 45018969 9998 92940765 9999 594501 10000 10642317[/CODE] Doublechecking all k/n twin values now. |
Doublechecking complete: 10 errors out of 10000 n-values.
7944825*2^2692+1 is not prime. Proth RES64: C280A4BF19EB4EEF Time: 24.272 ms. 32325705*2^6424-1 is not prime. LLR Res64: FB885E049182D30A Time : 137.967 ms. 25376805*2^6663-1 is not prime. LLR Res64: FC5B8163B88A04A5 Time : 142.944 ms. 33840285*2^6664-1 is not prime. LLR Res64: 4A976AD7998E69C5 Time : 143.500 ms. 18157833*2^6807-1 is not prime. LLR Res64: D4AC79501000544A Time : 164.336 ms. 14938203*2^6828-1 is not prime. LLR Res64: 0CA5522D21650707 Time : 151.220 ms. 71835525*2^7000-1 is not prime. LLR Res64: 17D9F6A236E93FF8 Time : 170.266 ms. 10358415*2^7874-1 is not prime. LLR Res64: 08D4A1A5E5CBAFEE Time : 220.077 ms. 62159043*2^7896-1 is not prime. LLR Res64: BC9F736A88A8A996 Time : 223.435 ms. 36551361*2^8987-1 is not prime. LLR Res64: D6F9FC0DA6D6465E Time : 349.487 ms. Will search for correct values. |
Double-check corrections:
11387763*2^2692+-1 26854965*2^6663+-1 44337243*2^6664+-1 19109169*2^6807+-1 34382745*2^6828+-1 84561177*2^7000+-1 36068043*2^7874+-1 75170223*2^7896+-1 n=6424 and n=8987 are as yet unknown, I'll check those tomorrow. |
Corrections complete. File at [url]http://www.freedrive.com/file/586345,twins_0-10k.xlsx[/url].
Other twin areas searched: [CODE] n= k= (millions) 33200 227.9 34528 56.5 34543 5 38183 7.37 40000 0.74 40001 5.75 40002 20 40003 10.68 40004 50 40011 5 40012 5 40013 5 45321 5 50000 1.17 50001 1 50002 1 50003 2 50004 1M<k<3 50005 8.95 55555 4.42 57557 5 59729 5 59747 13.1 59753 5 59771 5 61855 1 62627 30 63337 5 67777 5 70207 5 71899 5 72727 10 73237 5 74527 10 75000 100 75075 56.83 75937 10 76000 50 76067 2 76068 2 76069 2 76070 2 76071 2 76072 2 76073 1 76074 0.191 76075 3 76076 2 76077 2 76078 3 76079 2 76080 2 76081 2 76082 2 76083 2 76084 8.589 76085 2 76086 1.218 76087 3 76088 2 76089 2 76090 2 76091 2 76092 1 76093 2 76094 2 76095 2 76096 0.504 76097 0-2, 3-5 76098 2 76099 2 76100 2[/CODE] |
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