Search: id:A061286 Results 1-1 of 1 results found. %I A061286 %S A061286 2,4,16,64,1024,4096,65536,262144,4194304,268435456,1073741824, %T A061286 68719476736,1099511627776,4398046511104,70368744177664, %U A061286 4503599627370496,288230376151711744,1152921504606846976 %N A061286 Smallest integer for which the number of divisors is the n-th prime. %C A061286 Seems to be the same as "Even numbers with prime number of divisors" - Jason Earls (zevi_35711(AT)yahoo.com), Jul 04 2001 %C A061286 Except for the first term, smallest number == 1 (mod prime(n)) having n divisors (by Fermat's little theorem). - Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jun 20 2003 %F A061286 a(n) = 2^[p(n)-1] = Min{k| A000005(k) = prime} = 2^A006093(n). %o A061286 (PARI) forstep(n=2,100000000,2,x=numdiv(n); if(isprime(x),print(n))) %Y A061286 Cf. A000040, A000005, A005179, A003680, A061283, A061286, A006093, A005097, A006254. %Y A061286 Sequence in context: A154001 A154004 A060656 this_sequence A019279 A061652 A162119 %Y A061286 Adjacent sequences: A061283 A061284 A061285 this_sequence A061287 A061288 A061289 %K A061286 nonn %O A061286 1,1 %A A061286 Labos E. (labos(AT)ana.sote.hu), May 22 2001 Search completed in 0.002 seconds