A374102 Prime binary self (or Colombian) numbers: primes not expressible as the sum of an integer and its binary weight.

13, 23, 37, 71, 83, 97, 113, 233, 311, 313, 337, 359, 373, 401, 409, 449, 457, 499, 569, 593, 599, 601, 617, 641, 643, 739, 761, 809, 821, 853, 881, 883, 929, 947, 953, 977, 1103, 1129, 1153, 1193, 1217, 1237, 1249, 1297, 1303, 1319, 1321, 1429, 1459, 1489, 1499

Offset

1,1

Links

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

Mathematica

With[{m = 240}, Complement[Prime[Range[m]], Table[n + DigitCount[n, 2, 1], {n, 0, Prime[m]}]]]

Crossrefs

Intersection of A000040 and A010061.

A374103 is a subsequence.

Cf. A000120, A006378 (decimal analog).

Sequence in context: A089714 A070219 A046119 * A164416 A164491 A164434

Adjacent sequences: A374099 A374100 A374101 * A374103 A374106 A374107

Keyword

nonn,base,easy,new

Author

Amiram Eldar, Jun 28 2024

Status

approved