A389272 Primes p such that a sequence of consecutive primes ending on p sums to a power of 10.

5, 23, 53, 6491, 524123, 1764001, 439887307

Offset

1,1

Links

Table of n, a(n) for n=1..7.

Example

5 is a term because 2 + 3 + 5 = 10.
23 is a term because 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 = 100.
53 is a term because 47 + 53 = 100.
And all the primes summed from 4999 up to including 6491 equal to 1000000.

Prog

(PARI)
scan(plim, tot)={my(s=0, q=0, L=List()); forprime(p=2, min(plim, tot), s+=p; while(s>tot, q=nextprime(q+1); s-=q); if(s==tot, listput(L, p))); Vec(L)}
upto(lim)={my(m=10, ub=0, r=[]); forprime(p=3, lim, ub+=p); while(m<ub, r = concat(r, scan(lim, m)); m*=10); Set(r)} \\ Andrew Howroyd, Jan 28 2026

Crossrefs

Cf. A000396, A000040, A007504.

Sequence in context: A155851 A019267 A053664 * A186030 A092544 A319087

Adjacent sequences: A389269 A389270 A389271 * A389273 A389274 A389275

Keyword

nonn,more

Author

Leo Hennig, Jan 23 2026

Extensions

a(5)-a(7) from Andrew Howroyd, Jan 23 2026

Status

approved