A379347 a(n) is the sum of all integers of the form k^2 + 1 whose greatest prime factor is A002313(n), the n-th prime not congruent to 3 mod 4.

1, 12, 327, 391, 703, 20510, 5667, 661016, 507004, 644098, 24977604, 38394505, 2621510449, 465558141, 624692559, 63435958, 507041846, 8133206945, 70119049516045, 45102364892, 49035127231, 154823547391

Offset

1,2

Comments

See A223702 for additional information.

Links

Table of n, a(n) for n=1..22.

Example

a(2) = 12 = 2 + 3 + 7. The corresponding values for k^2 + 1 are 5, 10 and 50 each of whose greatest prime factor is 5 = A002313(2).

Crossrefs

Row sums of A223702.

Cf. A002313, A185389, A379344.

Sequence in context: A080141 A153468 A230817 * A298245 A110101 A185247

Adjacent sequences: A379344 A379345 A379346 * A379348 A379349 A379350

Keyword

nonn,more

Author

Andrew Howroyd, Dec 22 2024

Status

approved