A388261 Primes that are the sum of some first primes minus one.

439, 1987, 3637, 4027, 6337, 6869, 7417, 8581, 11239, 25799, 32983, 34267, 36887, 38237, 42467, 45433, 50077, 61909, 63703, 67399, 89671, 96281, 98533, 103171, 125507, 128111, 220511, 224047, 238519, 253537, 281063, 336041, 345011, 358681, 372611, 382037, 415861, 420811

Offset

1,1

Comments

The number of "some first primes" are the terms in A388066.

Primes in A237589.

Links

Karl-Heinz Hofmann, Table of n, a(n) for n = 1..10000

Formula

a(n) = A237589(A388066(n)) = A007504(A388066(n)) - 1.

Maple

select(isprime, ListTools:-PartialSums([seq(ithprime(i), i=1..1000)]) -~ 1); # Robert Israel, Sep 18 2025

Mathematica

Select[Accumulate[Prime[Range[400]]] - 1, PrimeQ] (* Amiram Eldar, Sep 16 2025 *)

Prog

(Python)
from sympy import sieve, isprime
print([(s-1) for k in range(1, 370, 2) if isprime((s:=sum(sieve[1:k+1]))-1)])

Crossrefs

Cf. A007504, A013916, A089228, A237589, A366206, A388066.

Sequence in context: A050805 A252135 A157737 * A061328 A177489 A210205

Adjacent sequences: A388258 A388259 A388260 * A388262 A388263 A388264

Keyword

nonn,easy

Author

Karl-Heinz Hofmann, Sep 16 2025

Status

approved