A058044 - OEIS

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

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OFFSET

2,1

LINKS

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

FORMULA

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

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 *)

CROSSREFS

Cf. A002110, A007014, A038710.

Sequence in context: A076976 A291757 A286464 * A223453 A285729 A293231

Adjacent sequences: A058041 A058042 A058043 * A058045 A058046 A058047

KEYWORD

nonn

AUTHOR

Labos Elemer, Nov 17 2000

EXTENSIONS

Offset corrected by Alois P. Heinz, Jun 08 2014

STATUS

approved