A055001 Integers that can be expressed as the sum of consecutive primes in exactly 6 ways.

34421, 130638, 229841, 235493, 271919, 295504, 345011, 347856, 358446, 358877, 414221, 429804, 434669, 480951, 488603, 532423, 532823, 543625, 561375, 621937, 626852, 655561, 687496, 703087, 734069, 746829, 810418, 824099, 888793

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..1000

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)) = 6. - Ray Chandler, Sep 20 2023

Crossrefs

Cf. A054845, A054859, A054996, A054997, A054998, A054999, A055000.

Sequence in context: A236796 A252241 A233872 * A164556 A344780 A385365

Adjacent sequences: A054998 A054999 A055000 * A055002 A055003 A055004

Keyword

nonn

Author

Jud McCranie, May 30 2000

Status

approved