

A057448


Higgs' primes: a(n+1) = next prime such that a(n+1)1  (a(1)...a(n))^5.


2



2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 263, 269, 271, 277, 281
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..58.


MATHEMATICA

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 ]


CROSSREFS

Cf. A007459 & A057447.
Sequence in context: A095320 A238853 A077359 * A049551 A058853 A049569
Adjacent sequences: A057445 A057446 A057447 * A057449 A057450 A057451


KEYWORD

nonn


AUTHOR

Robert G. Wilson v, Sep 25 2000


STATUS

approved



