A340340 a(n) = n*A340339(n)+b, where b = 1 if n is even or 2 if n is odd.

5, 11, 23, 53, 97, 139, 331, 569, 659, 971, 1201, 1669, 2251, 3347, 3617, 4337, 4813, 5527, 6709, 8861, 9431, 10979, 12583, 13513, 14827, 16823, 18443, 19853, 21433, 22291, 23593, 25889, 27689, 29207, 30697, 32653, 34819, 36899, 38651, 40361, 41863, 44059, 47431, 53549, 55667, 59387, 60961, 63313

Offset

1,1

Links

Robert Israel, Table of n, a(n) for n = 1..10000

Formula

a(n) = n*A340339(n)+A000034(n).

Example

a(4) = 4*A340339(4)+1 = 53.

Maple

f:= proc(n, p0)
    local p, a, v;
    if n::odd then a:= 2 else a:= 1 fi;
    p:= p0;
    do p:= nextprime(p)
    until isprime(n*p+a);
    return (p, n*p+a)
end proc:
p:= 2: R:= NULL:
for n from 1 to 100 do
  p, v:= f(n, p);
  R:= R, v;
od:
R;

Crossrefs

Cf. A000034, A340339.

Sequence in context: A191304 A102444 A132177 * A046138 A296322 A097279

Adjacent sequences: A340337 A340338 A340339 * A340341 A340342 A340343

Keyword

nonn

Author

J. M. Bergot and Robert Israel, Jan 04 2021

Status

approved