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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

%I #10 Jun 28 2024 11:46:38

%S 13,23,37,71,83,97,113,233,311,313,337,359,373,401,409,449,457,499,

%T 569,593,599,601,617,641,643,739,761,809,821,853,881,883,929,947,953,

%U 977,1103,1129,1153,1193,1217,1237,1249,1297,1303,1319,1321,1429,1459,1489,1499

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

%H Amiram Eldar, <a href="/A374102/b374102.txt">Table of n, a(n) for n = 1..10000</a>

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

%Y Intersection of A000040 and A010061.

%Y A374103 is a subsequence.

%Y Cf. A000120, A006378 (decimal analog).

%K nonn,base,easy

%O 1,1

%A _Amiram Eldar_, Jun 28 2024

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Last modified August 9 18:14 EDT 2024. Contains 375044 sequences. (Running on oeis4.)