[seqfan] Fermat's generalizations.

юрий герасимов 2stepan at rambler.ru
Sat Jan 2 10:17:31 CET 2016


Dear SegFans, Fermat's generalizations are

i  Numbers of form 2^n + 1 such that (2^n + 1 - n)/n is prime: 
3, 9, 17, 33, 129, 257, 1025, 4194305, 274877906945,
309485009821345068724781057, 20282409603651670423947251286017,
22835963083295358096932575511191922182123945985,
50216813883093446110686315385661331328818843555712276103169,
205688069665150755269371147819668813122841983204197482918576129,
3369993333393829974333376885877453834204643052817571560137951281153

ii Numbers n such that (2^n + 1 - n)/n Is prime: 1, 3, 4, 5, 7, 8, 10, 22, 38, 88, 104, 
154, 195, 207, 221, 246, 349, 362, 427, 466, 519, (what in the next one?)

iii Primes p such that (2^p + 1 - p)/p is prime:  3, 5, 7, 349. (what in the next one?)

i or ii or iii is of general interest? 

 for OEIS?

Best regards. JSG


More information about the SeqFan mailing list