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 A057447 Higgs' primes: a(n+1) = next prime such that a(n+1)-1 | (a(1)...a(n))^3. 7
 2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 101, 107, 109, 127, 131, 139, 149, 151, 157, 167, 173, 179, 181, 191, 197, 199, 211, 223, 229, 233, 251, 263, 269, 271, 277, 281, 283, 293, 311, 313, 317, 331, 347, 349, 359 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS T. D. Noe, Table of n, a(n) for n=1..1000 MATHEMATICA 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 ] CROSSREFS Cf. A007459 & A057448. Sequence in context: A181160 A316968 A105049 * A095074 A042987 A089189 Adjacent sequences:  A057444 A057445 A057446 * A057448 A057449 A057450 KEYWORD nonn AUTHOR Robert G. Wilson v, Sep 25 2000 STATUS approved

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Last modified November 20 08:16 EST 2018. Contains 317385 sequences. (Running on oeis4.)