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2020-08-20, 17:28   #958
sweety439

Nov 2016

3·5·132 Posts

From the thread https://mersenneforum.org/showthread...=10354&page=10, searched up to n=6000, k=4 and k=5 (for the Riesel side) are still running ....
Attached Files
 Riesel k1.txt (7.9 KB, 53 views) Riesel k2.txt (7.3 KB, 48 views) Riesel k3.txt (7.2 KB, 51 views) Riesel k6.txt (7.5 KB, 45 views)

2020-08-22, 20:38   #959
sweety439

Nov 2016

1001111001112 Posts

All searched up to n=2^12

Riesel k=4, Sierp k=4, Sierp k=5, Sierp k=6 are still running
Attached Files
 Riesel k5.txt (8.1 KB, 41 views) Sierp k2.txt (7.2 KB, 42 views) Sierp k3.txt (7.2 KB, 41 views)

 2020-08-24, 01:02 #960 sweety439     Nov 2016 3×5×132 Posts Exclusions for k<=12: Riesel k=1: b=m^r with r>1 proven composite by full algebraic factors Riesel k=2: none Riesel k=3: none Riesel k=4: b==(4 mod 5): odd n, factor of 5; even n, algebraic factors b=m^2 proven composite by full algebraic factors Riesel k=5: b==(11 mod 12): covering set [2, 3] Riesel k=6: b==(34 mod 35): covering set [5, 7] b=6*m^2 with m==(2, 3 mod 5): even n, factor of 5; odd n, algebraic factors Riesel k=7: b==(11 mod 12): covering set [2, 3] Riesel k=8: b==(20 mod 21): covering set [3, 7] b==(83, 307 mod 455): covering set [5, 7, 13] b=m^3 proven composite by full algebraic factors Riesel k=9: b==(4 mod 5): odd n, factor of 5; even n, algebraic factors b==(9 mod 16): odd n, factor of 2; even n, algebraic factors b=m^2 proven composite by full algebraic factors Riesel k=10: b==(32 mod 33): covering set [3, 11] Riesel k=11: b==(14 mod 15): covering set [3, 5] b==(19 mod 20): covering set [2, 5] b=11*m^2 with m==(2, 3 mod 5): even n, factor of 5; odd n, algebraic factors Riesel k=12: b==(142 mod 143): covering set [11, 13] base 307: covering set [5, 11, 29] base 901: covering set [7, 11, 13, 19] Sierp k=1: b=m^r with odd r>1 proven composite by full algebraic factors Sierp k=2: none Sierp k=3: none Sierp k=4: b==(14 mod 15); covering set [3, 5] b=m^4 proven composite by full algebraic factors Sierp k=5: b==(11 mod 12): covering set [2, 3] Sierp k=6: b==(34 mod 35); covering set [5, 7] Sierp k=7: b==(5, 11, 23 mod 24): covering set [2, 3] Sierp k=8: b==(20 mod 21): covering set [3, 7] b==(47, 83 mod 195): covering set [3, 5, 13] base 467: covering set [3, 5, 7, 19, 37] base 722: covering set [3, 5, 13, 73, 109] b=m^3 proven composite by full algebraic factors base 128: no possible prime Sierp k=9: b==(19 mod 20): covering set [2, 5] Sierp k=10: b==(32 mod 33): covering set [3, 11] Sierp k=11: b==(14 mod 15): covering set [3, 5] b==(19 mod 20): covering set [2, 5] b==(5 mod 24): covering set [2, 3] Sierp k=12: b==(142 mod 143): covering set [11, 13] bases 296 and 901: covering set [7, 11, 13, 19] bases 562, 828, 900, and 1166: covering set [7, 13, 19] base 563 and 1433: covering set [5, 7, 13, 19, 29] base 597: covering set [5, 13, 29] Last fiddled with by sweety439 on 2020-08-30 at 03:55
2020-08-29, 14:39   #961
sweety439

Nov 2016

47478 Posts

Update files.
Attached Files
 Riesel k4.txt (11.2 KB, 29 views) Riesel k7.txt (8.1 KB, 33 views) Sierp k4.txt (8.1 KB, 34 views) Sierp k5.txt (8.2 KB, 38 views)

 2020-08-29, 15:13 #962 sweety439     Nov 2016 3×5×132 Posts Primality certificates for the primes >= 300 digits for the proven or near-proven bases for the k such that gcd(k+-1,b-1) (+ for Sierpinski, - for Riesel) is not 1: (only for k < 1st CK) S7: k=141 S13: k=11 (proven by N-1-method) S16: k=23 S25: k=61 S33: (k=319 and k=407 are only probable primes) k=11 k=31 (proven by N-1-method) k=63 k=251 k=305 S36: k=223 (proven by N+1-method) (certificate for large prime factor for N+1) k=1000 k=1669 S37: k=19 S43: k=9 k=13 (proven by N-1-method) Last fiddled with by sweety439 on 2020-08-29 at 15:13
 2020-08-29, 16:46 #963 sweety439     Nov 2016 3·5·132 Posts S46: (k=17 is only probable prime) k=89 k=95 k=140 k=229 k=278 k=347 k=551 k=619 k=729 S58: (k=266 is only probable prime) k=20 k=29 k=53 k=146 k=209 k=296 k=332 k=362 k=383 k=392 k=416 S61: k=23 k=43 k=62 S64: k=11
2020-08-29, 16:48   #964
sweety439

Nov 2016

253510 Posts

Quote:
 Originally Posted by sweety439 Update files.
Update files, all Sierp/Riesel k=1~7 (for bases 2<=b<=1024) are searched to n=6000
Attached Files
 Sierp k6.txt (7.5 KB, 29 views) Sierp k7.txt (8.6 KB, 25 views)

2020-09-02, 16:06   #965
sweety439

Nov 2016

3·5·132 Posts

Quote:
 Originally Posted by sweety439 S46: (k=17 is only probable prime) k=89 k=95 k=140 k=229 k=278 k=347 k=551 k=619 k=729 S58: (k=266 is only probable prime) k=20 k=29 k=53 k=146 k=209 k=296 k=332 k=362 k=383 k=392 k=416 S61: k=23 k=43 k=62 S64: k=11
S67:

k=11

S72:

k=141

S73: (k=14 is only probable prime)

k=21
k=39

S75:

k=11

S79:

k=3 (proven by N+1-method) (certificate for large prime factor for N+1)
k=5 (proven by N-1-method)

S80:

k=552

S81: (k=311 is only probable prime)

k=34
k=41
k=43
k=317
k=349
k=389
k=415
k=425
k=431
k=433
k=479
k=503

S88:

k=8

S92:

k=25

S93: (k=19 is only probable prime)

k=3 (proven by N-1-method)
k=31
k=43

S94:

k=17

S97:

k=26
k=68
k=87
k=122

S103: (k=13 is only probable prime)

k=20

S105: (k=191 is only probable prime)

k=39
k=183

S107:

k=3 (proven by N+1-method)

S113:

k=13

S115:

k=50

 2020-09-02, 16:26 #966 sweety439     Nov 2016 3·5·132 Posts S117: k=11 k=47 k=67 k=75 k=77 k=81 (proven by N+1-method) S256: (k=11 is only probable prime) k=23 S1024: k=14 k=41 k=44
 2020-09-02, 20:11 #967 sweety439     Nov 2016 3×5×132 Posts https://docs.google.com/document/d/e...ZJlsvnJhll/pub Update newest file for Riesel problems to include R126
 2020-09-02, 21:32 #968 sweety439     Nov 2016 3×5×132 Posts Reserve R70

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