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 2020-07-08, 17:08 #870 sweety439     Nov 2016 236210 Posts 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