A089930 Primes p such that there exists a set of consecutive primes ending with p which has the same sum as a set starting right after p.

3, 13, 47, 73, 83, 269, 349, 359, 487, 569, 787, 859, 929, 941, 1171, 1237, 1297, 1307, 1429, 1549, 1553, 1607, 1877, 2011, 2083, 2111, 2113, 2389, 2399, 2557, 2579, 2633, 2659, 2677, 2749, 2777, 2837, 2969, 3001, 3019, 3067, 3119, 3169, 3203, 3301, 3347, 3413, 3533, 3541, 3637, 3701, 3797, 3833, 3853, 3923, 4001, 4079, 4133, 4217, 4243, 4283, 4363

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

47 is in the sequence because the sum of consecutive primes from 11 to 47, inclusive, equals the sum of primes from 53 to 71 inclusive, which is 311.

Mathematica

ssQ[n_]:=With[{p1t=Accumulate[Reverse[Prime[Range[n]]]], p2t=Accumulate[Prime[Range[n+1, 2n]]]}, Length[Intersection[p1t, p2t]]>0]; Prime[Select[Range[500], ssQ]] (* Harvey P. Dale, Jan 26 2025 *)

Crossrefs

Sequence in context: A017943 A220117 A379154 * A228529 A378405 A084519

Adjacent sequences: A089927 A089928 A089929 * A089931 A089932 A089933

Keyword

easy,nonn

Author

Randy L. Ekl, Jan 11 2004

Extensions

Better definition from Jens Kruse Andersen, May 04 2008

Corrected and extended by Harvey P. Dale, Jan 26 2025

Status

approved