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

Author

Jonathan Vos Post, May 11 2010

Keywords

• easy
• nonn

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.

Examples

			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.

Formula

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

Extensions

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