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

1,1

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.

Links

Table of n, a(n) for n=1..34.

Formula

a(n) <= A061712(n).

Crossrefs

Cf. A000120, A061712.

Sequence in context: A291525 A248346 A236514 * A127581 A372685 A278477

Adjacent sequences: A211994 A211995 A211996 * A211998 A211999 A212000

Keyword

nonn,base

Author

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

Status

approved