A342552 The number of twin primes between prime(i)*prime(i+1) and prime(i+1)*prime(i+2) where prime(i) and prime(i+1) are twin primes.

2, 3, 4, 3, 5, 6, 9, 11, 8, 12, 24, 19, 34, 14, 27, 14, 28, 17, 46, 26, 24, 55, 28, 14, 86, 50, 38, 66, 28, 67, 76, 41, 64, 40, 43, 93, 53, 87, 67, 48, 89, 66, 42, 72, 69, 76, 49, 76, 42, 49, 59, 73, 260, 109, 145, 169, 70, 137, 193, 292

Offset: 1

Author

Zhandos Mambetaliyev, Mar 27 2021

Keywords

• nonn

Crossrefs

Cf. A171727, A006094, A001359, A006512, A037074.

Programs

PARI

{for(n=1,200, if(prime(n+1)-prime(n)==2, my(a=prime(n)*prime(n+1), b=prime(n+1)*prime(n+2), c=0); for(m=a,b, if(isprime(m)==1&&isprime(m+2)==1, c=c+1)); print1(c, ", ")))}