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”).

Primes of the form prime(x)^2 + (prime(x) - 1)^2.
1

%I #13 Mar 29 2020 05:39:01

%S 5,13,41,313,1013,1861,3613,7321,9941,10513,13613,20201,21013,34061,

%T 52813,59513,99013,218461,277513,353641,370661,391613,424121,427813,

%U 481181,584281,632813,702113,750313,820481,825613,904513,1073113

%N Primes of the form prime(x)^2 + (prime(x) - 1)^2.

%C These primes are hypotenuses of right triangles in which all sides are natural numbers.

%H Amiram Eldar, <a href="/A147718/b147718.txt">Table of n, a(n) for n = 1..10000</a>

%t aa = {}; Do[If[PrimeQ[Prime[x]^2 + (Prime[x] - 1)^2], AppendTo[aa, Prime[x]^2 + (Prime[x] - 1)^2]], {x, 1, 1000}]; aa

%Y Cf. A020882, A008846.

%K nonn

%O 1,1

%A _Artur Jasinski_, Nov 11 2008