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A117367 a(n) = smallest prime greater than the smallest prime dividing n. 5
2, 3, 5, 3, 7, 3, 11, 3, 5, 3, 13, 3, 17, 3, 5, 3, 19, 3, 23, 3, 5, 3, 29, 3, 7, 3, 5, 3, 31, 3, 37, 3, 5, 3, 7, 3, 41, 3, 5, 3, 43, 3, 47, 3, 5, 3, 53, 3, 11, 3, 5, 3, 59, 3, 7, 3, 5, 3, 61, 3, 67, 3, 5, 3, 7, 3, 71, 3, 5, 3, 73, 3, 79, 3, 5, 3, 11, 3, 83, 3, 5, 3, 89, 3, 7, 3, 5, 3, 97, 3, 11, 3, 5 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

All even-indexed terms are 3.

LINKS

Michael De Vlieger, Table of n, a(n) for n = 1..10000

EXAMPLE

5 is the smallest prime dividing 35. So a(35) is the smallest prime > 5, which is 7.

MAPLE

with(numtheory): a:=proc(n): if n=1 then 2 else nextprime(factorset(n)[1]) fi: end: seq(a(n), n=1..100); # Emeric Deutsch, Apr 22 2006

MATHEMATICA

Table[NextPrime[FactorInteger[n][[1, 1]]], {n, 93}] (* Michael De Vlieger, Sep 16 2017 *)

CROSSREFS

Cf. A117364, A117365, A117366.

Sequence in context: A147593 A108396 A239476 * A080184 A052248 A092386

Adjacent sequences:  A117364 A117365 A117366 * A117368 A117369 A117370

KEYWORD

nonn

AUTHOR

Leroy Quet, Mar 10 2006

EXTENSIONS

More terms from Emeric Deutsch, Apr 22 2006

STATUS

approved

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Last modified September 21 11:18 EDT 2019. Contains 327253 sequences. (Running on oeis4.)