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A145092 Indices of the prime numbers after mapping the positive integers onto successive rings of length {1, 5, 30, 180, 1080, ...} and assigning index 0 to the smallest value in each. 0

%I #2 Mar 31 2012 10:28:53

%S 0,1,3,0,4,6,10,12,16,22,24,0,4,6,10,16,22,24,30,34,36,42,46,52,60,64,

%T 66,70,72,76,90,94,100,102,112,114,120,126,130,136,142,144,154,156,

%U 160,162,174,6,10,12,16,22,24,34,40,46,52,54,60,64,66,76,90,94,96,100,114

%N Indices of the prime numbers after mapping the positive integers onto successive rings of length {1, 5, 30, 180, 1080, ...} and assigning index 0 to the smallest value in each.

%C After the second ring, all primes have indices that are congruent to 0 or 4 modulo 6, because index 0 is given to a value congruent to 1 (one greater than a power of six).

%e The first three rings contain these numbers:

%e 1

%e .

%e 2 3 4 5 6 (sequence begins here)

%e 0 1 . 3 .

%e .........

%e 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 ...

%e 0 . . .. .4 .. .6 .. .. .. 10 .. 12 .. .. .. 16 .. .. .. .. .. 22 .. 24 .. .. .. .. ...

%Y Cf. A000040, A008588, A016957

%K easy,nonn

%O 1,3

%A _Reikku Kulon_, Oct 01 2008

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)