%I A057447
%S A057447 2,3,5,7,11,13,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,101,
%T A057447 107,109,127,131,139,149,151,157,167,173,179,181,191,197,199,211,223,
%U A057447 229,233,251,263,269,271,277,281,283,293,311,313,317,331,347,349,359
%N A057447 Higgs' primes: a(n+1) = next prime such that a(n+1)-1 | (a(1)...a(n))^3.
%H A057447 T. D. Noe, <a href="b057447.txt">Table of n, a(n) for n=1..1000</a>
%t A057447 NextPrime[ n_Integer ] := Module[ {k = n + 1}, While[ ! PrimeQ[ k ], 
               k++ ]; Return[ k ] ]; f[ n_List ] := (a = n; b = Apply[ Times, a^3 
               ]; d = NextPrime[ a[[ -1 ]] ]; While[ ! IntegerQ[ b/(d - 1) ] && 
               d < b+2, d = NextPrime[ d ] ]; AppendTo[ a, d ]; Return[ a ]); Nest[ 
               f, {2}, 75 ]
%Y A057447 Cf. A007459 & A057448.
%Y A057447 Sequence in context: A029732 A037950 A105049 this_sequence A095074 A042987 
               A097375
%Y A057447 Adjacent sequences: A057444 A057445 A057446 this_sequence A057448 A057449 
               A057450
%K A057447 nonn
%O A057447 1,1
%A A057447 Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 25 2000