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A243844 Primes p such that p^5 + p^3 + p + 2 is prime. 1

%I #25 Jul 03 2016 00:14:42

%S 5,7,17,67,109,127,199,359,389,467,599,647,727,829,877,887,919,947,

%T 1187,1259,1429,1789,1889,1987,1997,2099,2129,2309,2399,2417,2557,

%U 2647,2837,2909,3187,3329,3359,3469,3517,3527,3769,3917,3967,4049,4217,4289,4349,4357,4507,4517,4937,5309,5507,5527,5879,6247,6337

%N Primes p such that p^5 + p^3 + p + 2 is prime.

%H Abhiram R Devesh, <a href="/A243844/b243844.txt">Table of n, a(n) for n = 1..10000</a>

%e p = 5 is in this sequence because p^5 + p^3 + p + 2 = 3257 (prime).

%e p = 7 is in this sequence because p^5 + p^3 + p + 2 = 17159 (prime).

%o (Python)

%o import sympy.ntheory as snt

%o p=1

%o while p>0:

%o ....p=snt.nextprime(p)

%o ....pp=p+(p**3)+(p**5)+2

%o ....if snt.isprime(pp) == True:

%o ........print(p,pp)

%K nonn,easy

%O 1,1

%A _Abhiram R Devesh_, Jun 14 2014

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Last modified April 24 19:52 EDT 2024. Contains 371963 sequences. (Running on oeis4.)