A214643 Primes p such that p XOR 22 = p + 22.

41, 73, 97, 137, 193, 233, 257, 353, 449, 457, 521, 577, 617, 641, 673, 769, 809, 929, 937, 1033, 1097, 1129, 1153, 1193, 1217, 1249, 1289, 1321, 1409, 1481, 1601, 1609, 1697, 1801, 1889, 1993, 2017, 2081, 2089, 2113, 2153, 2273, 2281, 2377, 2441, 2473, 2593

Offset: 1

Author

Brad Clardy, Jul 23 2012

Keywords

• nonn

Comments

It seems that all of the terms in A197918 with the exception of the first three terms are also in this sequence.

Crossrefs

Cf. A197918.

Programs

Magma

XOR := func;
m:=22;
  for n in [2 .. 10000] do
     if IsPrime(n)  then  pn:=n;
        if (XOR(pn,m) eq pn+m) then pn; end if;
     end if;
  end for;

Mathematica

Select[Range[3000], PrimeQ[#] && BitXor[#, 22] == # + 22 &] (* T. D. Noe, Jul 24 2012 *)
Select[Prime[Range[400]],BitXor[#,22]==#+22&] (* Harvey P. Dale, Jul 23 2023 *)