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Old 2020-07-08, 17:08   #870
sweety439
 
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Nov 2016

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All n must be >= 1.

All MOB k-values need an n>=1 prime (unless they have a covering set of primes, or make a full covering set with all or partial algebraic factors)

MOB k-values such that (k+-1)/gcd(k+-1,b-1) (+ for Sierpinski, - for Riesel) is not prime are included in the conjectures but excluded from testing. Such k-values will have the same prime as k / b.

There are some MOB k-values such that (k+-1)/gcd(k+-1,b-1) (+ for Sierpinski, - for Riesel) is prime which do not have an easy prime for n>=1:

GFN's and half GFN's: (all with no known primes)

S2 k=65536
S3 k=3433683820292512484657849089281
S4 k=65536
S5 k=625
S6 k=1296
S7 k=2401
S8 k=256
S8 k=65536
S9 k=3433683820292512484657849089281
S10 k=100
S11 k=14641
S12 k=12
S13 k=815730721
S14 k=196
S15 k=225
S16 k=65536

Other k's:

S2 k=55816: first prime at n=14536
S2 k=90646: no prime with n<=6.6M
S2 k=101746: no prime with n<=6.6M
S3 k=621: first prime at n=20820
S4 k=176: first prime at n=228
S5 k=40: first prime at n=1036
S6 k=90546
S7 k=21: first prime at n=124
S9 k=1746: first prime at n=1320
S9 k=2007: first prime at n=3942
S10 k=640: first prime at n=120
S24 k=17496
S155 k=310
S333 k=1998
R2 k=74: first prime at n=2552
R2 k=674: first prime at n=11676
R2 k=1094: first prime at n=652
R4 k=19464: no prime with n<=3.3M
R6 k=103536: first prime at n=6474
R6 k=106056: first prime at n=3038
R10 k=450: first prime at n=11958
R10 k=16750: no prime with n<=200K
R11 k=308: first prime at n=444
R14 k=2954: no prime with n<=50K
R15 k=2940: first prime at n=13254
R15 k=8610: first prime at n=5178
R18 k=324: first prime at n=25665
R21 k=84: first prime at n=88
R23 k=230: first prime at n=6228
R27 k=594: first prime at n=36624
R40 k=520: no prime with n<=1K
R42 k=1764: first prime at n=1317
R48 k=384: no prime with n<=200K
R66 k=1056: no prime with n<=1K
R78 k=7800: no prime with n<=1K
R88 k=3168: first prime at n=205764
R96 k=9216: first prime at n=3341
R120 k=4320: no prime with n<=1K
R210 k=44100: first prime at n=19817
R306 k=93636: first prime at n=26405
R396 k=156816: no prime with n<=50K
R591 k=1182: first prime at n=1190
R954 k=1908: first prime at n=1476
R976 k=1952: first prime at n=1924
R1102 k=2204: first prime at n=52176
R1297 k=2594: first prime at n=19839
R1360 k=2720: first prime at n=74688

Last fiddled with by sweety439 on 2020-08-08 at 06:43
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