A211997 Smallest prime with at least n 1's when written in binary.

2, 3, 7, 23, 31, 127, 127, 383, 991, 2039, 3583, 6143, 8191, 63487, 63487, 129023, 131071, 522239, 524287, 1966079, 4128767, 14680063, 14680063, 33546239, 67108351, 201064447, 260046847, 536739839, 1073479679, 2147483647, 2147483647, 8581545983, 16911433727, 32212254719

Offset: 1

Author

Vladimir Shevelev and Peter J. C. Moses, Oct 25 2012

Keywords

• nonn
• base

Comments

In contrast to the more vague statement in A061712, the existence of every term of this sequence follows from the Sierpinski theorems (see reference, point 28).

References

• Ernst Trost, Primzahlen, Birkhäuser-Verlag, 1953.

Crossrefs

Cf. A000120, A061712.

Formula

a(n) <= A061712(n).