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A177709 Sums of 4 distinct primorials. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified November 28 12:20 EST 2022. Contains 358416 sequences. (Running on oeis4.)