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A156320 List of prime pairs of the form (p, p+8). 4
3, 11, 5, 13, 11, 19, 23, 31, 29, 37, 53, 61, 59, 67, 71, 79, 89, 97, 101, 109, 131, 139, 149, 157, 173, 181, 191, 199, 233, 241, 263, 271, 269, 277, 359, 367, 389, 397, 401, 409, 431, 439, 449, 457, 479, 487, 491, 499, 563, 571, 569, 577, 593, 601, 599, 607, 653, 661, 683, 691, 701 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
Fernando Neres de Oliveira, On the Solvability of the Diophantine Equation p^x + (p + 8)^y = z^2 when p > 3 and p + 8 are Primes, Annals of Pure and Applied Mathematics (2018) Vol. 18, No. 1, 9-13.
FORMULA
a(2n+1) = A023202(n+1). a(2n+2) = A092402(n+1). [R. J. Mathar, Feb 09 2009]
MATHEMATICA
Flatten[Select[{#, # + 8} &/@Prime[Range[1000]], PrimeQ[Last[#]]&]] (* Vincenzo Librandi, Nov 01 2012 *)
PROG
(Python)
from sympy import isprime, primerange
for pn in primerange(1, 300):
if isprime(pn+8):
print(pn, pn+8)
# Stefano Spezia, Dec 06 2018
CROSSREFS
Sequence in context: A308968 A084466 A084462 * A134969 A139686 A212782
KEYWORD
nonn,tabf
AUTHOR
Vincenzo Librandi, Feb 08 2009
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)