Post small primes and tell us about your progress here - Page 20

gd_barnes · 2007-10-28, 18:15

Here is my status for Oct. month-end before Karsten does the final update for the 15k.org pages from off of my web pages:

For k=2145, 16995, 26565, and 49335; ranges and primes:

Quote:

n=200K to 283.1K complete; primes found and confirmed:

k / n
2145: 213621*, 214257*, 214994*
16995: 241068*, 256435*, 277111*, 282003*
26565: 217001*, 264851*, 277766*
49335: 242161*, 259572

n=333.3K to 386.9K complete; 3 primes found shown in 'lots of primes' thread

k=19437, 102765, 3545685, 111546435, 115029915, 120023475, 290499495, 686701125, 775784295, 96891151, 1019370495, and 3428677395; ranges and primes:

Quote:

n=200K to 250.9K complete; primes found and confirmed:
k / n
19437: 211357*
111546435: 209565*, 210761*
290499495: 224928
686701125: 225149, 238938
775784295: 206406, 222937, 227488, 234206, 245390
968911515: 207877, 213176, 214518, 226971, 244245
1019370495: 210362, 225325, 249834
3428677395: 203702

n=333.3K to 356.9K complete; 7 primes found shown in 'lots of primes' thread. Confirmed 2 previously found primes:
k / n
115029915: 334568*, 337129*

* - confirmed prime previously found by others

Karsten, the following ranges searched are exceptions to the above that include ranges that have been previously searched by others in the format that you shown them on your pages:

k=16995...290k, 333.3k-386.9k
k=26565...306k, 333.3k-386.9k
k=111546435...328k, 333.3k-356.9k
k=115029915...250.9k, 269.2k-385k

Gary

gd_barnes · 2007-10-28, 18:36

To fill in the gap below my 2nd large quad find, here are the primes and twins for k=2722420456827 up to n=25K:

Quote:

primes: 10, 38, 101, 140, 178, 209, 278, 289, 440, 478, 520, 1402, 1928, 2828, 3520, 3800, 6902, 8593, 9280, 10412, 14200, 20797

twin, triplet, & quad: 3800

There was no prime for n<10. The only twin, triplet, and quad was n=3800.

Total of 22 primes. The Nash weight is 1844.

Gary

kar_bon · 2007-10-29, 00:10

filled gap of k=413468055:
24095*, 26233, 37282, 47060, 48860, 53510, 60109, 77645, 79666, 83390, 87261, 103482, 104344, 129623*
*=confirmed
this makes 104 primes upto n=155k. no twins.

grobie · 2007-11-02, 10:25

k=55951335 currently at n=149967, if you could please update with following primes:

n=100226
n=149447

AES · 2007-11-09, 15:22

3333333*2^358515-1 is prime (107931 digits)

3333333*2^n-1 is also prime for n = 3, 16, 28, 30, 35, 43, 55, 58, 75, 83, 99, 120, 138, 143, 146, 148, 231, 246, 295, 336, 355, 363, 490, 526, 939, 954, 1275, 2398, 2611, 3271, 3338, 4455, 5616, 5690, 8971, 15751, 27670, 32679, 54923, 63291, 67908, 131343, 137766, 142091, 151975, 166504, 194963, 244451, 254738, 269539

kar_bon · 2007-11-09, 15:27

congrats to your first Top5000-prime, adam!

AES · 2007-11-09, 15:35

Thanks. And thanks to everyone for the welcome to RPS.

Cruelty · 2007-11-11, 22:24

k=736320585 tested till n=800000, I'm still working on it

AES · 2007-11-15, 15:48

n at 203,000

3015015*2^n-1 is prime for

n = 1, 5, 6, 7, 13, 14, 15, 19, 41, 43, 53, 64, 103, 106, 126, 158, 174, 223, 239, 263, 266, 343, 581, 604, 610, 886, 1010, 1111, 1735, 1743, 2510, 2618, 2841, 3371, 3804, 5006, 5691, 5819, 6341, 7621, 8593, 8595, 11966, 13968, 18601, 19354, 24717, 35145, 42910, 46481, 51106, 51438, 52278, 52536, 67459, 68441, 71124, 78671, 131093, 137916, 142080, 155631

Twins

3015015*2^5-1 = 96480479 is prime! (trial divisions)
3015015*2^5+1 = 96480481 is prime! (trial divisions)

gd_barnes · 2007-11-21, 21:30

I have completed my smaller high-weight k effort. This is the one for k=2145, 16995, 26565, and 49335 from n=200K-400K. Here is a synopsis of all primes found and confirmed from the effort including previously reported primes:

Quote:

k / n
2145: 213621*, 214257*, 214994*, 323459, 345415, 372766
16995: 241068*, 256435*, 277111*, 282003*, 331071, 364274
26565: 217001*, 264851*, 277766*, 289274*, 306088*, 393136
49335: 242161*, 259572

* - confirmed prime previously found by others

There were no primes above n=259572 for k=49335.

Curtis had previously provided me with a sieved file for k=2145 for n=280K-600K. That has now been started at n=400K on 2 cores.

As usual, my larger high-weight k effort for 12 k's will be reported at the end of the month.

Gary

gd_barnes · 2007-11-22, 02:31

I should have stated this in this last post: I am unreserving k's=16995, 26565, and 49335. They are now fully tested with no gaps up to n=400K.

I am still keeping the reservation for k=2145 and testing it up to n=600K.

G

2007-10-29, 00:10	#212
kar_bon Mar 2006 Germany 2²·727 Posts	k=413468055 filled gap of k=413468055: 24095, 26233, 37282, 47060, 48860, 53510, 60109, 77645, 79666, 83390, 87261, 103482, 104344, 129623 *=confirmed this makes 104 primes upto n=155k. no twins.

2007-11-02, 10:25	#213
grobie Sep 2005 Raleigh, North Carolina 337₁₀ Posts	k=55951335 k=55951335 currently at n=149967, if you could please update with following primes: n=100226 n=149447

2007-11-11, 22:24	#217
Cruelty May 2005 2³·7·29 Posts	milestone report for k=736320585 k=736320585 tested till n=800000, I'm still working on it

2007-11-22, 02:31	#220
gd_barnes May 2007 Kansas; USA 10100010101101₂ Posts	Un-reserving k's I should have stated this in this last post: I am unreserving k's=16995, 26565, and 49335. They are now fully tested with no gaps up to n=400K. I am still keeping the reservation for k=2145 and testing it up to n=600K. G

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2007-11-09, 15:22	#214
AES Jul 2007 Tennessee 260₁₆ Posts	33333332^358515-1 is prime (107931 digits) 33333332^n-1 is also prime for n = 3, 16, 28, 30, 35, 43, 55, 58, 75, 83, 99, 120, 138, 143, 146, 148, 231, 246, 295, 336, 355, 363, 490, 526, 939, 954, 1275, 2398, 2611, 3271, 3338, 4455, 5616, 5690, 8971, 15751, 27670, 32679, 54923, 63291, 67908, 131343, 137766, 142091, 151975, 166504, 194963, 244451, 254738, 269539

2007-11-09, 15:27	#215
kar_bon Mar 2006 Germany 2²×727 Posts	congrats to your first Top5000-prime, adam!

2007-11-09, 15:35	#216
AES Jul 2007 Tennessee 608₁₀ Posts	Thanks. And thanks to everyone for the welcome to RPS.

2007-11-15, 15:48	#218
AES Jul 2007 Tennessee 2⁵×19 Posts	n at 203,000 30150152^n-1 is prime for n = 1, 5, 6, 7, 13, 14, 15, 19, 41, 43, 53, 64, 103, 106, 126, 158, 174, 223, 239, 263, 266, 343, 581, 604, 610, 886, 1010, 1111, 1735, 1743, 2510, 2618, 2841, 3371, 3804, 5006, 5691, 5819, 6341, 7621, 8593, 8595, 11966, 13968, 18601, 19354, 24717, 35145, 42910, 46481, 51106, 51438, 52278, 52536, 67459, 68441, 71124, 78671, 131093, 137916, 142080, 155631 Twins 30150152^5-1 = 96480479 is prime! (trial divisions) 3015015*2^5+1 = 96480481 is prime! (trial divisions)