Search: id:A007459 Results 1-1 of 1 results found. %I A007459 M0660 %S A007459 2,3,5,7,11,13,19,23,29,31,37,43,47,53,59,61,67,71,79,101,107,127,131, %T A007459 139,149,151,157,173,181,191,197,199,211,223,229,263,269,277,283,311,317, %U A007459 331,347,349,367,373,383,397,419,421,431,461,463,491,509,523,547,557,571 %N A007459 Higgs' primes: a(n+1) = next prime such that a(n+1)-1 | (a(1)...a(n))^2. %D A007459 S. Burris and S. Lee, Tarski's high school identities, Amer. Math. Monthly 100 (1993), 231-236. %D A007459 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). %H A007459 T. D. Noe, Table of n, a(n) for n=1..1000 %t A007459 NextPrime[ n_Integer ] := Module[ {k = n + 1}, While[ ! PrimeQ[ k ], k++ ]; Return[ k ] ]; f[ n_List ] := (a = n; b = Apply[ Times, a^2 ]; d = NextPrime[ a[ [ -1 ] ] ]; While[ ! IntegerQ[ b/(d - 1) ] || d > b, d = NextPrime[ d ] ]; AppendTo[ a, d ]; Return[ a ]); Nest[ f, {2}, 75 ] %Y A007459 Cf. A057447, A057448 & A057459. %Y A007459 Sequence in context: A095074 A042987 A097375 this_sequence A129944 A152900 A079151 %Y A007459 Adjacent sequences: A007456 A007457 A007458 this_sequence A007460 A007461 A007462 %K A007459 nonn,nice %O A007459 1,1 %A A007459 N. J. A. Sloane (njas(AT)research.att.com). %E A007459 More terms from David W. Wilson (davidwwilson(AT)comcast.net) Search completed in 0.002 seconds