A334344 -id:A334344 - cp's OEIS frontend

A334345 Numbers k such that k and k+1 are both binary Moran numbers (A334344).

115, 355, 1266, 1555, 1686, 1795, 4195, 4206, 4962, 5155, 5298, 6978, 9235, 10002, 11230, 13315, 18822, 21752, 22602, 23106, 26072, 29816, 40616, 42258, 60056, 60730, 64690, 68802, 83586, 87272, 91736, 94616, 100990, 107526, 108910, 109448, 113192, 121112, 125436

Offset: 1

Amiram Eldar, Apr 23 2020

			115 is a term since 115/A000120(115) = 23 and 116/A000120(116) = 29 are both prime numbers.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Subsequence of A330931 and A334344.

Cf. A000120, A085775.

q:= n-> (p-> is(p, integer) and isprime(p))(n/add(i, i=Bits[Split](n))):
select(k-> q(k) and q(k+1), [$1..126000])[];  # Alois P. Heinz, Apr 23 2020

binMoranQ[n_] := PrimeQ[n / DigitCount[n, 2, 1]]; Select[Range[10^5], binMoranQ[#] && binMoranQ[# + 1] &]

A334346 Starts of runs of 3 consecutive binary Moran numbers (A334344).

Original entry on oeis.org

126866286, 133542126, 148891086, 150959502, 173668302, 207567342, 227950542, 257154606, 263874222, 284421582, 295075566, 331190766, 373024206, 390589326, 392805486, 393817806, 395760366, 397921806, 441314766, 459700686, 459990702, 516188142, 527006286, 586869966

Offset: 1

Amiram Eldar, Apr 23 2020

			126866286 is a term since 126866286/A000120(126866286) = 7048127, 126866287/A000120(126866287) = 6677173 and 126866288/A000120(126866288) = 7929143 are all prime numbers.

Amiram Eldar, Table of n, a(n) for n = 1..3410 (terms below 10^11)

Subsequence of A330932, A334344 and A334345.

Cf. A000120, A235397.

binMoranQ[n_] := PrimeQ[n / DigitCount[n, 2, 1]]; bin = binMoranQ /@ Range[3]; seq = {}; Do[If[And @@ bin, AppendTo[seq, k - 3]]; bin = Join[Rest[bin], {binMoranQ[k]}], {k, 4, 2 * 10^8}]; seq

cp's OEIS Frontend

A334345 Numbers k such that k and k+1 are both binary Moran numbers (A334344).

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