A177709 Sums of 4 distinct primorials.

39, 219, 243, 247, 248, 2319, 2343, 2347, 2348, 2523, 2527, 2528, 2551, 2552, 2556, 30039, 30063, 30067, 30068, 30243, 30247, 30248, 30271, 30272, 30276, 32343, 32347, 32348, 32371, 32372, 32376, 32551, 32552, 32556, 32580, 510519, 510543

Offset

1,1

Comments

This is to numbers that are the sum of 4 different primes (A177708) as primorials (A002110) are to primes (A000040). The subsequence of primes among these sums of 4 distinct primorials begins: 2347, 2551, 30271, 32371, 510751. The subsequence of nontrivial powers a^b with b>1 begin: a(3) = 243, a(24) = 30276 = 30030+210+30+6 = 2^2 x 3^2 x 29^2.

Links

Table of n, a(n) for n=1..37.

Formula

{a(n)} = {A002110(i) + A002110(j) + A002110(k)+ A002110(L) for distinct i, j, k, L}.

Example

a(1) = 39 = 30+6+2+1
a(2) = 219 = 210+6+2+1
a(3) = 243 = 210+30+2+1 = 3^5
a(4) = 247 = 210+30+6+1
a(5) = 248 = 210+30+6+2.

Crossrefs

Cf. A000040, A002110, A006862, A038609, A124867, A177689, A177697, A177708.

Sequence in context: A290071 A221797 A068975 * A211503 A266104 A190538

Adjacent sequences: A177706 A177707 A177708 * A177710 A177711 A177712

Keyword

easy,nonn

Author

Jonathan Vos Post, May 11 2010

Extensions

Corrected (2348 inserted) by R. J. Mathar, May 15 2010

Status

approved