S000641


Sequential product of primes of the form 8k ± 1.

7, 119, 2737, 84847, 3478727, 163500169, 11608511999, 847421375927, 66946288698233, 5958219694142737, 577947310331845489, 59528572964180085367, 6726728744952349646471, 854294550608948405101817, 117038353433425931498948929, 17672791368447315656341288279

1

S000641

That is, the sequential product of the terms in A001132. The Diophantine equation x^2+(x+f)^2 = y^2, where f is a number in this sequence, appears to have a simple solution. See S000640.

T. D. Noe, Plot of 100 terms

T. D. Noe, Table of 100 terms

(Mma) nn = 100; f = Select[Union[8*Range[nn]-1, 8*Range[n]+1], PrimeQ, nn/5]; pr = 1; Table[pr = pr*i, {i, f}]

Cf. A001132, S000640.

nonn

T. D. Noe, May 19 2015

© Tony D Noe 2014-2015