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A237992 Numbers which can be decomposed as pq + qr + rp (where p < q < r are distinct primes) in more ways than any smaller number. 1
31, 71, 151, 191, 311, 1031, 1991, 3191, 5351, 5591, 10391, 15791, 17111, 27191, 31391, 35591, 42311, 50951, 70391, 93551, 107159, 117911, 119831, 126551, 166871, 180311, 191831, 216191, 255191, 259871, 327071, 366791, 435431, 465911, 514751, 576551, 599231, 631991 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Records in A238403.

LINKS

Table of n, a(n) for n=1..38.

EXAMPLE

71 = 3*5 + 3*7 + 5*7 = 2*3 + 2*13 + 3*13 can be written in two ways, while smaller numbers can be written in at most one way.

PROG

(PARI) do(n)=my(v=vectorsmall(n), r); forprime(r=5, (n-6)\5, forprime(q=3, min((n-2*r)\(r+2), r-2), my(S=q+r, P=q*r); forprime(p=2, min((n-P)\S, q-1), v[p*S+P]++))); for(i=1, #v, if(v[i]>r, r=v[i]; print1(i", "))

CROSSREFS

Cf. A238403, A087053, A238397.

Sequence in context: A003542 A055781 A142195 * A139975 A050957 A127345

Adjacent sequences:  A237989 A237990 A237991 * A237993 A237994 A237995

KEYWORD

nonn

AUTHOR

Charles R Greathouse IV, Feb 26 2014

STATUS

approved

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Last modified October 17 08:36 EDT 2019. Contains 328107 sequences. (Running on oeis4.)