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A360490
a(n) = (1/2) * A241102(n).
0
109, 433, 172801, 238573, 363313, 640333, 1145773, 1968301, 2056753, 3121201, 3577393, 6588973, 11197873, 13079233, 13381633, 15431473, 21676033, 26462701, 34476301, 37340353, 43823053, 48481201, 54749953, 56454733, 90816013, 96038893, 102667501, 128786113
OFFSET
1,1
COMMENTS
Primes which are half the difference between 2 cubes of primes.
Primes of the form 3*m^2 + 1, where m is the average of a twin prime pair (A014574).
A subsequence of A243761 and a supersequence of A270249.
FORMULA
a(n) = (1/2) * A241102(n).
EXAMPLE
172801 is a term because 172801 = (241^3 - 239^3)/2, and 172801, 239 and 241 are all primes.
PROG
(Python)
from itertools import islice
from sympy import isprime, nextprime
def A360490_gen(): # generator of terms
p, q = 3**3, 5
while True:
if isprime(k:=(m:=q**3)-p>>1):
yield k
p, q = m, nextprime(q)
A360490_list = list(islice(A360490_gen(), 20)) # Chai Wah Wu, Feb 27 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Ya-Ping Lu, Feb 09 2023
STATUS
approved