A074104 Smallest multiple of n such that every partial sum is a prime, or 0 if no such number exists.

2, 0, 3, 8, 10, 6, 14, 16, 54, 50, 66, 12, 52, 14, 30, 16, 68, 18, 304, 80, 84, 22, 92, 48, 250, 104, 108, 28, 174, 90, 558, 96, 66, 170, 490, 144, 296, 76, 78, 80, 574, 42, 258, 308, 360, 138, 94, 192, 686, 150, 102, 52, 318, 378, 110, 280, 228, 116, 708, 120, 976

Offset

1,1

Comments

0 occurs only once as a(2).

Links

Andrew Howroyd, Table of n, a(n) for n = 1..10000

Prog

(PARI) lista(n)={my(a=vector(n), s=2); a[1]=s; for(n=3, n, my(m=n); while(!isprime(s+m), m+=n); a[n]=m; s+=m); a} \\ Andrew Howroyd, Dec 10 2024

Crossrefs

Cf. A084665.

Sequence in context: A209259 A020826 A094346 * A071411 A336326 A255384

Adjacent sequences: A074101 A074102 A074103 * A074105 A074106 A074107

Keyword

nonn

Author

Amarnath Murthy, Aug 22 2002

Status

approved