%I A057448
%S A057448 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,
%T A057448 97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,
%U A057448 181,191,197,199,211,223,227,229,233,239,241,251,263,269,271,277,281
%N A057448 Higgs' primes: a(n+1) = next prime such that a(n+1)-1 | (a(1)...a(n))^5.
%t A057448 NextPrime[ n_Integer ] := Module[ {k = n + 1}, While[ ! PrimeQ[ k ], 
               k++ ]; Return[ k ] ]; f[ n_List ] := (a = n; b = Apply[ Times, a^5 
               ]; 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 A057448 Cf. A007459 & A057447.
%Y A057448 Sequence in context: A064555 A095320 A077359 this_sequence A049551 A058853 
               A049569
%Y A057448 Adjacent sequences: A057445 A057446 A057447 this_sequence A057449 A057450 
               A057451
%K A057448 nonn
%O A057448 1,1
%A A057448 Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 25 2000