A376287 - OEIS

A376287

Index of first occurrence of n in A129363, or 0 if no such number exists.

2, 6, 10, 22, 48, 120, 114, 298, 240, 540, 288, 1620, 210, 300, 702, 840, 660, 2312, 1290, 4284, 1332, 2580, 2070, 2100, 1890, 5100, 2340, 5580, 3720, 6660, 3612, 6240, 2310, 10288, 3540, 4680, 4788, 5460, 4410, 5940, 6120, 10200, 4200, 4620, 3570, 10560, 5700, 16588, 5250

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

COMMENTS

Twin prime analogous to A023036.

Conjecture: a(n) > 0. Checked to 1010.

Conjectured last occurrence: 4208, 24536, 28916, 21278, 51806, 68078, 73538, 89216, 83978, ..., .

Conjecture number of terms for A129363(k) = n: 35, 115, 285, 327, 557, 537, 723, 652, 882, ..., .

A129363(n) = 0: A007534.

LINKS

Table of n, a(n) for n=0..48.

MATHEMATICA

tp = Select[Prime@Range@ 16340, PrimeQ[# -2] || PrimeQ[# +2] &]; f[n_] := Length@ IntegerPartitions[n, {2, 2}, tp]; t[_] := 0; k = 2; While[k < 10201, a = f@k; If[ t[a] == 0, t[a] = k]; k += 2]; t /@ Range[0, 75]

CROSSREFS

Cf. A001097, A023036, A129363.

Sequence in context: A167512 A055895 A125527 * A200572 A342136 A049750

Adjacent sequences: A376284 A376285 A376286 * A376288 A376289 A376290

KEYWORD

nonn

AUTHOR

Robert G. Wilson v, Sep 19 2024

STATUS

approved