A055000 Integers that can be expressed as the sum of consecutive primes in exactly 5 ways.

311, 863, 14369, 14699, 15329, 16277, 19717, 20272, 25416, 28500, 29033, 36467, 37607, 40433, 41074, 42463, 45101, 46660, 48731, 49253, 49499, 50560, 53424, 55813, 59068, 67141, 68787, 70104, 70429, 70692, 71548, 76423, 78756, 78791

Offset

1,1

References

R. K. Guy, Unsolved Problems in Number Theory, section C2.

Links

Ray Chandler, Table of n, a(n) for n = 1..10000

Carlos Rivera, Puzzle 46. Primes expressible as sum of consecutive primes in K ways, The Prime Puzzles and Problems Connection.

Jonathan P. Sorenson and Eleanor Waiss, Analysis of Algorithms for Moser's Problems on Sums of Consecutive Primes, arXiv:2509.00236 [math.NT], 2025. See p. 2.

Formula

A054845(a(n)) = 5. - Ray Chandler, Sep 20 2023

Crossrefs

Cf. A054845, A054859, A054996, A054997, A054998, A054999, A055001.

Sequence in context: A173596 A067379 A067374 * A067380 A046495 A061329

Adjacent sequences: A054997 A054998 A054999 * A055001 A055002 A055003

Keyword

nonn

Author

Jud McCranie, May 30 2000

Status

approved