A354221 a(n) is the numerator of the sum of reciprocals of the 2*n+1 consecutive primes starting with A353534(n).

31, 2927, 24749279, 52404847006669763041, 264723826652711, 25709009860910962769666716861, 31275582984007762166936591, 9357116090687897728867556889841, 13585328068403621603022853, 4395564666287059721647967305937566473834609232641255659809, 15360643606799479140185671512081451

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..122

Example

a(3) = 24749279 because A353534(3) = 5 and 1/5 + 1/7 + 1/11 + 1/13 + 1/17 + 1/19 + 1/23 = 24749279/37182145.

Maple

f:= proc(n) local i, k, v;
   for k from 1 do
     v:= numer(add(1/ithprime(i), i=k..k+2*n));
     if isprime(v) then return v fi
   od
end proc:
map(f, [$1..30]);

Crossrefs

Cf. A353534.

Sequence in context: A190527 A106205 A218424 * A259866 A217913 A174584

Adjacent sequences: A354218 A354219 A354220 * A354222 A354223 A354224

Keyword

nonn

Author

J. M. Bergot and Robert Israel, May 29 2022

Status

approved