A257118 -id:A257118 - cp's OEIS frontend

A257119 Smallest member of four consecutive prime numbers each of which is the sum of two squares.

389, 757, 1193, 2593, 2609, 3037, 3209, 3413, 3433, 5233, 6829, 7649, 8669, 8677, 9157, 9241, 10169, 10429, 11173, 11593, 11597, 11617, 11621, 11633, 11657, 12269, 12277, 12409, 12413, 12829, 12841, 15053, 17389

Offset: 1

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Abhiram R Devesh, Apr 25 2015

nonn
easy

This sequence is a subset of A257118.

			a(1)=389 ; 389 = 10^2 + 17¨2; 397 = 6^2 + 19^2; 401 = 1^2 + 20^2; 409 = 3^2 + 20^2.

Abhiram R Devesh, Table of n, a(n) for n = 1..100

Cf. A257117 (with two consecutive primes), A257118 (with three consecutive primes).

import sympy
def sumpow(sn0, n, p):
    af=0; bf=0; an=1
    sn1=sn0+n
    if n!=0:
        sn1=sympy.nextprime(sn0, n)
    while an**p0:
    a0, b0=sumpow(s0, 0, pw)
    a1, b1=sumpow(s0, 1, pw)
    a2, b2=sumpow(s0, 2, pw)
    a3, b3=sumpow(s0, 3, pw)
    if a0!=0 and a1!=0 and a2!=0 and a3!=0:
        print(s0)
    s0=sympy.nextprime(s0)

cp's OEIS Frontend

A257119 Smallest member of four consecutive prime numbers each of which is the sum of two squares.

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