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A163292 a(n) = n-th prime minus (number of digits of n-th prime written in base 4). 1
1, 2, 3, 5, 9, 11, 14, 16, 20, 26, 28, 34, 38, 40, 44, 50, 56, 58, 63, 67, 69, 75, 79, 85, 93, 97, 99, 103, 105, 109, 123, 127, 133, 135, 145, 147, 153, 159, 163, 169, 175, 177, 187, 189, 193, 195, 207, 219, 223, 225, 229, 235, 237, 247, 252, 258, 264, 266, 272, 276 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

FORMULA

a(n) = A000040(n) - A163291(n).

EXAMPLE

a(6) = 11 (= 13 - 2);

a(7) = 14 (= 17 - 3); ...

a(54) = 247 (= 251 - 4);

a(55) = 252 (= 257 - 5).

MAPLE

A000040 := proc(n) ithprime(n) ; end: A163291 := proc(n) max(1, ilog[4](A000040(n))+1) ; end: A163292 := proc(n) A000040(n)-A163291(n) ; end: seq(A163292(n), n=1..100) ; #R. J. Mathar, Jul 26 2009

MATHEMATICA

#-IntegerLength[#, 4]&/@Prime[Range[60]] (* Harvey P. Dale, Dec 14 2015 *)

PROG

(PARI) a(n) = my(p=prime(n)); p - #digits(p, 4); \\ Michel Marcus, Mar 03 2019

CROSSREFS

Cf. A000040, A004678, A163291, A163293 (analog in base 2).

Sequence in context: A161514 A215779 A140329 * A137518 A137509 A014109

Adjacent sequences:  A163289 A163290 A163291 * A163293 A163294 A163295

KEYWORD

nonn,base

AUTHOR

Juri-Stepan Gerasimov, Jul 24 2009

STATUS

approved

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Last modified November 16 22:20 EST 2019. Contains 329208 sequences. (Running on oeis4.)