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A337095
Prime numbers that can be expressed as the sum of k>1 consecutive prime numbers in only one way.
2
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
KEYWORD
nonn
AUTHOR
STATUS
approved