A323360 Least number of consecutive primes beginning with 2, the sum of which (A007504) is >= 2^n.

1, 1, 2, 3, 4, 6, 8, 10, 14, 19, 25, 34, 46, 62, 84, 115, 158, 216, 296, 406, 559, 770, 1063, 1468, 2029, 2808, 3889, 5390, 7478, 10381, 14421, 20044, 27876, 38792, 54010, 75233, 104842, 146169, 203869, 284457, 397045, 554382, 774322, 1081859

Offset

0,3

Comments

The final primes in the sums are 2, 2, 3, 5, 7, 13, 19, 29, 43, 67, 97, 139, 199, 293, 433, 631, 929, ..., .

Links

Table of n, a(n) for n=0..43.

Mathematica

p = 2; k = s = 0; lst = {}; Do[ While[s < 2^n, s = s + p; p = NextPrime@ p; k++]; AppendTo[lst, k], {n, 50}]; lst

Crossrefs

Cf. A007504, A323361, A323362.

Sequence in context: A237751 A045476 A368381 * A375186 A297417 A343502

Adjacent sequences: A323357 A323358 A323359 * A323361 A323362 A323363

Keyword

nonn

Author

Robert G. Wilson v, Jan 12 2019

Status

approved