[go: up one dir, main page]

login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A122732
3-almost primes that are the sum of 2 positive cubes. Sums of 2 positive cubes, with the sums having exactly 3 prime divisors counted with multiplicity.
1
28, 370, 539, 637, 730, 854, 1001, 1358, 1547, 1729, 2198, 2261, 3059, 3887, 3925, 4075, 4123, 4706, 4825, 4921, 5038, 5957, 6293, 6886, 6923, 7075, 7163, 7202, 7657, 8029, 8729, 9262, 9269, 9325, 9331, 10745, 10955, 11458, 12175, 12383, 12845
OFFSET
1,1
COMMENTS
3-almost prime analog of A085366 Semiprimes that are the sum of two positive cubes. The sum of two positive cubes cannot be prime.
LINKS
FORMULA
A003325 INTERSECTION A014612. {x = a^3 + b^3 for positive integers a, b, such that A001222(x) = 3}.
EXAMPLE
a(1) = 28 = 2^2 * 7 = 1^3 + 3^3.
a(2) = 370 = 2 * 5 * 37 = 3^3 + 7^3.
a(3) = 539 = 7^2 * 11 = 2^3 + 8^3.
a(4) = 637 = 7^2 * 13 = 5^3 + 8^3.
a(5) = 730 = 2 * 5 * 73 = 1^3 + 9^3.
a(6) = 854 = 2 * 7 * 61 = 5^3 + 9^3.
a(7) = 1001 = 7 * 11 * 13 = 1^3 + 10^3.
PROG
(PARI) is(n)=bigomega(n)==3 && #select(v->min(v[1], v[2])>0, thue('x^3+1, n))>0 \\ Charles R Greathouse IV, Feb 05 2017
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Jonathan Vos Post, Sep 23 2006
EXTENSIONS
More terms from R. J. Mathar, Jan 27 2009
STATUS
approved