A058044 Difference between the smallest prime following and largest prime preceding n-th primorial number.

2, 2, 12, 2, 18, 48, 46, 80, 102, 74, 120, 72, 136, 174, 132, 168, 198, 190, 230, 176, 234, 286, 102, 354, 364, 336, 278, 486, 442, 386, 408, 1032, 520, 308, 364, 612, 478, 432, 382, 422, 606, 526, 1344, 606, 1230, 834, 624, 756, 550

Offset: 2

Author

Labos Elemer, Nov 17 2000

Keywords

• nonn

Links

• Alois P. Heinz, Table of n, a(n) for n = 2..100

Crossrefs

Cf. A002110, A007014, A038710.

Programs

Maple

[seq(nextprime(product(ithprime(k), k=1..w))-prevprime (product(ithprime(k), k=1..w)), w=2..50)];

Mathematica

Rest[NextPrime[#]-NextPrime[#,-1]&/@Rest[FoldList[Times,1,Prime[Range[ 50]]]]] (* Harvey P. Dale, Mar 24 2013 *)

Formula

a(n) = A038710(n)-A007014(n).

Extensions

Offset corrected by Alois P. Heinz, Jun 08 2014