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A079481
Primes prime(k) such that prime(k)*prime(k+1)+(prime(k)-1)! is prime.
0
3, 5, 7, 13, 17, 71, 643, 2551
OFFSET
1,1
COMMENTS
From Jason Yuen, Aug 22 2024: (Start)
2551 corresponds to a probable prime.
a(9) > 10000. (End)
EXAMPLE
Let prime(k) be 5, therefore prime(k+1)=7 and prime(k)*prime(k+1)=35. (prime(k)-1)!=4!=24. 35+24=59, which is prime.
PROG
(PARI) forprime (p=3, 1000, if (isprime(p*nextprime(p+1)+(p-1)!), print1(p", ")))
CROSSREFS
Sequence in context: A106878 A192294 A227531 * A291867 A219674 A075571
KEYWORD
nonn,more,hard
AUTHOR
Jon Perry, Jan 16 2003
EXTENSIONS
a(7)-a(8) from Jason Yuen, Aug 22 2024
Name corrected by Joerg Arndt, Aug 23 2024
STATUS
approved