A153137 Smallest sequence of noncomposite numbers such that no sum of at least two terms is prime.

1, 3, 5, 113, 181, 661, 10891, 927149, 88070399, 15288362671

Offset

1,2

Links

Table of n, a(n) for n=1..10.

Prog

(PARI) print1(1); a=[1]; for(n=1, 10, forprime(p=vecmin(a)+1, , setsearch(a, p)&&next; for(i=1, 2^#a-1, isprime(normlp(vecextract(a, i), 1)+p)&&next(2)); a=concat(a, p); print1(", "p))) \\ Very simplistic, should at least avoid an odd number of terms in the partial sum of earlier terms. \\ M. F. Hasler, Jan 29 2015

Crossrefs

Cf. A153136, A153138, A133660, A052349, A254337, A254341.

Sequence in context: A376221 A054266 A054268 * A105526 A070743 A340823

Adjacent sequences: A153134 A153135 A153136 * A153138 A153139 A153140

Keyword

more,nonn

Author

Benoit Jubin, Dec 19 2008

Extensions

a(8)-a(10) from Donovan Johnson, Dec 23 2008

Status

approved