A054997 - OEIS

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A054997

Integers that can be expressed as the sum of consecutive primes in exactly 2 ways.

7

5, 17, 23, 31, 36, 53, 59, 60, 67, 71, 72, 90, 97, 100, 101, 109, 112, 119, 120, 127, 131, 138, 139, 143, 152, 173, 180, 181, 187, 204, 210, 211, 221, 228, 233, 258, 263, 269, 271, 276, 300, 304, 323, 330, 331, 349, 353, 372, 373, 379, 384, 390, 395, 408

(list; graph; refs; listen; history; text; internal format)

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.

FORMULA

A054845(a(n)) = 2. - Ray Chandler, Sep 20 2023

EXAMPLE

5 can be expressed as 5 or 2+3, so 5 is in the sequence.

CROSSREFS

Cf. A054845, A054859, A054996, A054998, A054999, A055500, A055001.

Sequence in context: A226671 A226674 A309770 * A067377 A337095 A153504

Adjacent sequences: A054994 A054995 A054996 * A054998 A054999 A055000

KEYWORD

nonn

AUTHOR

Jud McCranie, May 30 2000

STATUS

approved