A245520 Index of the smallest prime where n consecutive leading binary digits of the index match n consecutive leading binary digits in the prime.

1, 5, 5, 25, 31, 32, 1014, 1029, 1046, 1052, 1052, 1609194, 1613310, 1615739, 1616376, 1617055, 1617118, 1617155, 1617155, 1617173

Offset

1,2

Comments

Similar to A133583, except the comparison is done in binary.

Links

Table of n, a(n) for n=1..20.

Example

a(4) = 25 since 25 in binary is 11001, the 25th prime is 97, or 1100001 in binary and the first 4 digits of these two binary numbers coincide.

Crossrefs

Cf. A245521, A245522, A245523, A133583, A133584, A133589, A133590.

Sequence in context: A056451 A170834 A154630 * A245130 A263872 A237654

Adjacent sequences: A245517 A245518 A245519 * A245521 A245522 A245523

Keyword

nonn,more,base

Author

Chai Wah Wu, Jul 24 2014

Status

approved