A389113 Primes that are the sum of all primes in an interval [k,2*k] for some k>=1.

2, 5, 31, 41, 59, 139, 281, 311, 479, 593, 1153, 1283, 1559, 2213, 2963, 3067, 3167, 3181, 5153, 6779, 7451, 9463, 9859, 10061, 10889, 17539, 22229, 30869, 32717, 33851, 35393, 36191, 36599, 48761, 57641, 60223, 62861, 65539, 67723, 76249, 78643, 81083, 85439

Offset

1,1

Links

Alois P. Heinz, Table of n, a(n) for n = 1..10000

Example

31 = 7 + 11 + 13 is a term because it is prime and it is the sum of all primes in [7,14].

Mathematica

Union[Select[Table[Total[Select[Range[n, 2 n], PrimeQ]], {n, 650}] , PrimeQ]] (* James C. McMahon, Sep 25 2025 *)

Crossrefs

Distinct primes in A073837.

Distinct terms in A341632.

Cf. A000040.

Sequence in context: A059086 A363243 A341632 * A215168 A370830 A266478

Adjacent sequences: A389110 A389111 A389112 * A389114 A389115 A389116

Keyword

nonn

Author

Alois P. Heinz, Sep 23 2025

Status

approved