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A374102
Prime binary self (or Colombian) numbers: primes not expressible as the sum of an integer and its binary weight.
2
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
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
KEYWORD
nonn,base,easy
AUTHOR
Amiram Eldar, Jun 28 2024
STATUS
approved