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A060269 Distance of n-th primorial from closest prime. 1
1, 1, 1, 1, 19, 23, 37, 41, 1, 59, 1, 47, 67, 59, 61, 89, 89, 103, 79, 83, 89, 1, 103, 131, 113, 127, 223, 191, 163, 179, 389, 239, 151, 167, 173, 239, 199, 191, 199, 223, 233, 593, 293, 457, 227, 311, 373, 257 (list; graph; refs; listen; history; text; internal format)
OFFSET

3,5

LINKS

Table of n, a(n) for n=3..50.

EXAMPLE

7th primorial is surrounded by {510529,510481} primes in {19,71} distances of which the smaller is 19=a(7).

MAPLE

with(numtheory): [seq(min(nextprime(product(ithprime(j), j=1..n))-product(ithprime(j), j= >1..n), product(ithprime(j), j=1..n)-prevprime(product(ithprime(j), j=1..n >))), n=3..50)];

MATHEMATICA

dnp[n_]:=Module[{a=NextPrime[n, -1], b=NextPrime[n]}, Min[n-a, b-n]]; dnp/@ FoldList[Times, Prime[Range[50]]] (* Harvey P. Dale, Jul 11 2017 *)

CROSSREFS

A038710, A007014, A058044, A038711.

Sequence in context: A168144 A108271 A245585 * A245382 A075585 A052030

Adjacent sequences:  A060266 A060267 A060268 * A060270 A060271 A060272

KEYWORD

nonn

AUTHOR

Labos Elemer, Mar 23 2001

STATUS

approved

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Last modified February 21 20:32 EST 2020. Contains 332111 sequences. (Running on oeis4.)