A060270 Distance of n-th primorial from previous prime.

1, 1, 11, 1, 1, 29, 23, 43, 41, 73, 59, 1, 89, 67, 73, 107, 89, 101, 127, 97, 83, 89, 1, 251, 131, 113, 151, 263, 251, 223, 179, 389, 281, 151, 197, 173, 239, 233, 191, 223, 223, 293, 593, 293, 457, 227, 311, 373, 257, 307, 313, 607, 347, 317, 307, 677, 467, 317

Offset

2,3

Links

Robert G. Wilson v, Table of n, a(n) for n = 2..1000

Formula

a(n)=1 for n=2, 3, 5, 6, 13, 24, 66, 68, 167, ... (A057704); a(n)=A055211(n) otherwise. - Jeppe Stig Nielsen, Oct 31 2003

Example

Before 7th primorial 510481 is the largest prime. Its distance from 510510 is a(7)=29.

Maple

[seq(product(ithprime(j), j=1..n)-prevprime(product(ithprime(j), j=1..n)), n=2..50)];

Mathematica

Map[# - NextPrime[#, -1] &, Rest@ FoldList[Times, Prime@ Range[59]]] (* Michael De Vlieger, Aug 10 2023 *)

Prog

(PARI) a(n) = my(P=vecprod(primes(n))); P-precprime(P-1); \\ Michel Marcus, Aug 11 2023

Crossrefs

Cf. A002110, A038710, A007014, A058044, A038711, A055211.

Sequence in context: A143685 A168647 A202767 * A202678 A202971 A202675

Adjacent sequences: A060267 A060268 A060269 * A060271 A060272 A060273

Keyword

nonn

Author

Labos Elemer, Mar 23 2001

Extensions

More terms from Jeppe Stig Nielsen, Oct 31 2003

Status

approved