A337095 Prime numbers that can be expressed as the sum of k>1 consecutive prime numbers in only one way.

5, 17, 23, 31, 53, 59, 67, 71, 97, 101, 109, 127, 131, 139, 173, 181, 211, 233, 263, 269, 271, 331, 349, 353, 373, 379, 421, 431, 443, 449, 457, 463, 479, 487, 499, 503, 523, 563, 587, 607, 617, 631, 647, 659, 661, 677, 683, 691, 701, 719, 757, 787, 797, 811, 827, 829, 839

Offset

1,1

Links

Jon E. Schoenfield, Table of n, a(n) for n = 1..10000 (first 354 terms from Jean-Marc Falcoz)

Formula

A084146 INTERSECT A000040. - R. J. Mathar, Aug 19 2020

Example

a(1) = 5 is the sum of k>1 consecutive primes in exactly one way: 5 = 2+3;
a(2) = 17 is the sum of k>1 consecutive primes in exactly one way: 17 = 2+3+5+7;
a(3) = 23 is the sum of k>1 consecutive primes in exactly one way: 23 = 2+3+5+7+11;
a(4) = 31 is the sum of k>1 consecutive primes in exactly one way: 31 = 7+11+13;
a(5) = 53 is the sum of k>1 consecutive primes in exactly one way: 53 = 5+7+11+13+17; etc.
The prime number 41 is not in the sequence because 41 is the sum of k>1 consecutive primes in more than one way: 41 = 2+3+5+7+11+13 and 41 = 11+13+17).

Crossrefs

Cf. A084146.

Sequence in context: A309770 A054997 A067377 * A153504 A044438 A101414

Adjacent sequences: A337092 A337093 A337094 * A337096 A337097 A337098

Keyword

nonn

Author

Eric Angelini and Jean-Marc Falcoz, Aug 15 2020

Status

approved