A076524 For each solution x>0 to 3*prime(n)+2*x = prime(n+2+x), the sequence lists prime(n) once.

3, 3, 5, 7, 7, 19, 23, 31, 37, 41, 43, 43, 47, 47, 61, 67, 71, 89, 109, 109, 113, 127, 131, 131, 137, 139, 149, 151, 163, 163, 167, 167, 173, 181, 197, 227, 241, 251, 257, 263, 269, 277, 293, 311, 337, 337, 359, 379, 397, 401, 409, 421, 439, 439, 491, 569, 569

Offset

1,1

Links

Table of n, a(n) for n=1..57.

Example

3 refers to 3*prime(2) +2*1 = prime(5). The next 3 refers to 3*prime(2)+2*2 = prime(6). The 5 refers to 3*prime(3) + 2*4=prime(9). The two 7 refer to 3*prime(4)+2*4=prime(10) and 3*prime(4)+2*5=prime(11).

Prog

(PARI) find(p)=my(t=3*p); forprime(q=nextprime(nextprime(p+1)+1)+1, default(primelimit), t+=2; if(q>=t, return(if(q>t, 0, 1+isprime(q+2))))); error("not enough primes")
forprime(p=3, 200, for(i=1, find(p), print1(p", "))) \\ Charles R Greathouse IV, Mar 09 2012

Crossrefs

Sequence in context: A086910 A101300 A172290 * A168279 A171957 A278166

Adjacent sequences: A076521 A076522 A076523 * A076525 A076526 A076527

Keyword

nonn

Author

Roger L. Bagula, Oct 18 2002

Extensions

Another 43 added by R. J. Mathar, Mar 09 2012

More terms from Sean A. Irvine, Apr 07 2025

Status

approved