A054996 Integers that can be expressed as the sum of consecutive primes in exactly 1 way.

2, 3, 7, 8, 10, 11, 12, 13, 15, 18, 19, 24, 26, 28, 29, 30, 37, 39, 42, 43, 47, 48, 49, 52, 56, 58, 61, 68, 73, 75, 77, 78, 79, 84, 88, 89, 95, 98, 102, 103, 107, 113, 121, 124, 128, 129, 132, 137, 144, 149, 150, 151, 155, 156, 157, 158, 159, 160, 161, 162, 163

Offset: 1

Author

Jud McCranie, May 30 2000

Keywords

• nonn

Examples

			8=3+5, so 8 is in the sequence.
		

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.

Crossrefs

Cf. A054845, A054859, A054997, A054998, A054999, A055000, A055001.

Formula

A054845(a(n)) = 1. - Ray Chandler, Sep 20 2023