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A197614 a(n) is the smallest prime of the form  sum_{j=1..k}prime(j)*prime(j+1)*…*prime(j+n). 0
44839, 82193, 630859553, 2525696897, 1910131806019, 14899669504506112147, 60135213227903643780817, 4812219756324961, 341826385983784841, 3490785573251518581776138393, 1025219842099467656125852928369, 14472211420055197111499933838371 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Generalization of A197421.

LINKS

Table of n, a(n) for n=1..12.

EXAMPLE

For n=1, k=22 gives the smallest prime of the form sum_{j=1..k}prime(j)*prime(j+1)=44839 = 2*3+3*5+5*7+...79*83 where 79 = prime(22) and 83 = prime(23).

MAPLE

for n from 1 to 20 do:i:=0:p:=0:for j from 1 to 1000 while(i=0) do: uu:=1:for k from 0 to n do: uu:=uu*ithprime(j+k):od:p:=p+uu:if type(p, prime)=true then i:=1: printf(`%d, `, p):else fi:od:od:

CROSSREFS

Cf. A197421 A074745.

Sequence in context: A209909 A251790 A197421 * A202987 A183590 A230618

Adjacent sequences:  A197611 A197612 A197613 * A197615 A197616 A197617

KEYWORD

nonn

AUTHOR

Michel Lagneau, Oct 16 2011

STATUS

approved

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Last modified January 27 09:04 EST 2022. Contains 350607 sequences. (Running on oeis4.)