$Id: primes-2.ll,v 1.291 2004/06/14 15:24:06 kenta Exp $ ["sophie-germain-powers-of-two-plus","0"] % num-primes-to-sieve 80 Here are some primes p such that p and (p-1)/2 are both prime. The corresponding Sophie Germain prime is (p-1)/2. 2^4 + [451,463] 2^5 + [435,447] 2^6 + [403,415] 2^7 + [339,351] 2^8 + [211,223] 2^10 + [163,259] 2^12 + [31,43] 2^14 + [103,163] 2^16 + [7,43] 2^20 + [127,463] 2^24 + [691,907] 2^28 + [1411,2383] 2^32 + [91,331] 2^40 + [667,4747] 2^48 + [907,5071] 2^56 + [3031,3571] 2^64 + [3103,11131] 2^80 + [2191,5563] 2^96 + [2887,21127] 2^112 + [20287,21091] 2^128 + [12451,13783] 2^160 + [116011,179851] 2^192 + [15943,64411] 2^224 + [6883,42271] 2^256 + [230191,323011] 2^320 + [140791,152347] 2^384 + [69283,133747] 2^448 + [290731,451411] 2^512 + [286867,677647] 2^640 + [716731,982951] 2^768 + [216127,2355511] 2^896 + [183547,1417267] 2^1024 + [1657867,2940631] 2^1280 + [547651,607591] 2^1536 + [1108831,2719603] 2^1792 + [3011131,8757847] 2^2048 + [10029811,10211311]