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[QUOTE=carpetpool;545650]Srsieve is for numbers of the form k*b^n+-c and sr2sieve requires that k=1 or c=1. Thus, you would have to find a program that sieves your requested forms, or use the -f switch in pfgw instead of a sieve (trial factoring is only slightly slower than actual sieving BTW). Alternatively, you could make a program with GP or some other math library which sieves your specific form. I did this once for other forms that don't have a dedicated sieving program. I could send you an example if you like.[/QUOTE]
You are wrong, I use -w and sorted by n [CODE] Recognized ABC Sieve file: ABC File 2*12^1729-13 is composite: RES64: [FCBEFF5D9726017B] (0.3088s+0.0442s) 3*12^1729+19 is composite: RES64: [ACD8BE7F69CCF93B] (0.2875s+0.1171s) 3*12^1729+41 is composite: RES64: [13D1BC98F11A1A82] (0.8990s+0.1535s) 6*12^1729+49 is composite: RES64: [3AD5B119E2BC4FE2] (0.2647s+0.1758s) 71*12^1729-5 is composite: RES64: [AA02B20400C7D891] (0.7988s+0.1091s) 128*12^1729-7 is composite: RES64: [C8E3BF8CFD691188] (0.3862s+0.1363s) 3*12^1730-1 is composite: RES64: [1CD2CC9E6C8D8C2C] (0.2181s+0.6109s) 3*12^1730+19 is composite: RES64: [8E72C8EF272B1A9B] (0.7866s+0.1368s) 3*12^1730+41 is composite: RES64: [E12318DFFBE36C71] (0.2949s+0.1277s) 5*12^1730-49 is composite: RES64: [F51EBD81224CFD18] (0.2575s+0.1078s) 10*12^1730-1 is composite: RES64: [4DF840F2E104A15E] (0.3002s+0.1506s) 23*12^1730-1 is composite: RES64: [C6CFD00F72C6845B] (0.3583s+0.1165s) 38*12^1730-5 is composite: RES64: [EBA5F05BB4D8C003] (0.3450s+0.1096s) 62*12^1730-7 is composite: RES64: [50DF9889A454B12B] (0.3860s+0.1197s) 73*12^1730-7 is composite: RES64: [C9B26E9494C4DD5A] (0.3311s+0.1635s) 78*12^1730-1 is composite: RES64: [36209BE0322224D6] (0.2912s+0.1105s) 93*12^1730-5 is composite: RES64: [B98A7200C2AABCC3] (0.3199s+0.0997s) 95*12^1730-7 is composite: RES64: [3344A36EFC545CB9] (0.3698s+0.0004s) [/CODE] |
[QUOTE=sweety439;545688]You are wrong, I use -w and sorted by n
[CODE] Recognized ABC Sieve file: ABC File 2*12^1729-13 is composite: RES64: [FCBEFF5D9726017B] (0.3088s+0.0442s) 3*12^1729+19 is composite: RES64: [ACD8BE7F69CCF93B] (0.2875s+0.1171s) 3*12^1729+41 is composite: RES64: [13D1BC98F11A1A82] (0.8990s+0.1535s) 6*12^1729+49 is composite: RES64: [3AD5B119E2BC4FE2] (0.2647s+0.1758s) 71*12^1729-5 is composite: RES64: [AA02B20400C7D891] (0.7988s+0.1091s) 128*12^1729-7 is composite: RES64: [C8E3BF8CFD691188] (0.3862s+0.1363s) 3*12^1730-1 is composite: RES64: [1CD2CC9E6C8D8C2C] (0.2181s+0.6109s) 3*12^1730+19 is composite: RES64: [8E72C8EF272B1A9B] (0.7866s+0.1368s) 3*12^1730+41 is composite: RES64: [E12318DFFBE36C71] (0.2949s+0.1277s) 5*12^1730-49 is composite: RES64: [F51EBD81224CFD18] (0.2575s+0.1078s) 10*12^1730-1 is composite: RES64: [4DF840F2E104A15E] (0.3002s+0.1506s) 23*12^1730-1 is composite: RES64: [C6CFD00F72C6845B] (0.3583s+0.1165s) 38*12^1730-5 is composite: RES64: [EBA5F05BB4D8C003] (0.3450s+0.1096s) 62*12^1730-7 is composite: RES64: [50DF9889A454B12B] (0.3860s+0.1197s) 73*12^1730-7 is composite: RES64: [C9B26E9494C4DD5A] (0.3311s+0.1635s) 78*12^1730-1 is composite: RES64: [36209BE0322224D6] (0.2912s+0.1105s) 93*12^1730-5 is composite: RES64: [B98A7200C2AABCC3] (0.3199s+0.0997s) 95*12^1730-7 is composite: RES64: [3344A36EFC545CB9] (0.3698s+0.0004s) [/CODE][/QUOTE] WTF.... I forget to divide these numbers by 11 |
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Update the sieve file sorted by exponent. (only for n<=2304, since the original file (n<=12^5) is too large to update here, even when zipped)
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[QUOTE=sweety439;545689]WTF.... I forget to divide these numbers by 11[/QUOTE]
How did you sieve them though? I figured you could use the -w option BTW. |
[QUOTE=carpetpool;545742]How did you sieve them though? I figured you could use the -w option BTW.[/QUOTE]
I sieved start with the prime 13 |
[QUOTE=carpetpool;545742]How did you sieve them though? I figured you could use the -w option BTW.[/QUOTE]
For the form (k*12^n+-c)/11, I sieved k*12^n+-c, since srsieve cannot sieve (k*12^n+-c)/11 |
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Update the (probable) primes
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[QUOTE=sweety439;545221]These forms have no known (probable) primes:
[CODE] label expression {1}55 (10^n+3E7)/E {2}97 (2*10^n+695)/E {8}77 (8*10^n-107)/E {E}9E 10^n-21 20{E} 21*10^n-1 22{E} 23*10^n-1 34{1} (309*10^n-1)/E 53{E} 54*10^n-1 89{1} (804*10^n-1)/E 99{1} (8E4*10^n-1)/E [/CODE] However, except the first three forms, all other forms cannot contain a prime because: 10^n-21, 21*10^n-1, (309*10^n-1)/E, 54*10^n-1, (804*10^n-1)/E even n: algebra factors (difference of two squares) odd n: factor of 11 23*10^n-1 even n: factor of 11 odd n: algebra factors (difference of two squares) (8E4*10^n-1)/E covering set {5, 11, 25} also note that the form 1{5}1, which is (14*10^n-41)/E, can be prime [I]only for[/I] n=1 because even n: algebra factors (difference of two squares) odd n: factor of 11 (and this number for n=1 is exactly 11) Can someone found a prime of the form {1}55 (111...11155), {2}97 (222...22297), {8}77 (888...88877) in dozenal?[/QUOTE] Also {3}11 (333...33311) (3×10^n−201)/E, no known (probable) primes for n>2 |
[QUOTE=sweety439;545798]Also {3}11 (333...33311) (3×10^n−201)/E, no known (probable) primes for n>2[/QUOTE]
Also {1}87 (111...11187) (10^n+6X5)/E Besides, I found that {3}11 (333...33311) (3×10^n−201)/E cannot be prime since * For even n, such numbers are divisible by 11 * For odd n, such numbers can be factored as (let n=2*k+1): ((6*10^k-15)/E) * (6*10^k+15) i.e. 666...6665 * 6000...00015 thus cannot be prime. |
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update the file of current status (currently at n=8132)
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done to n=10007, update current status
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