A109775 -id:A109775 - cp's OEIS frontend

A108810 Self-describing primes.

10153331, 10173133, 10233221, 10311533, 10322321, 12103331, 12163133, 12163331, 12193133, 12311933, 12313319, 15103133, 15233221, 15311633, 15331931, 15333119, 16153133, 16153331, 16173133, 16331531, 16331831, 16333117, 17143331, 17311633, 17331031, 18103133

Offset: 1

G. L. Honaker, Jr., Jul 12 2005

Self-descriptive numbers are read in pairs of digits.

This uses a different method from A047841. Here the digits are described in any order, whereas in A047841 they must be described in increasing order.

			E.g. 10153331 reads "One 0, one 5, three 3's and three 1's", which does indeed describe 10153331.

Computed by Jud McCranie.
Mudge, 'Numbers Count', Personal Computer World, Jun 15 1996

Giovanni Resta, Table of n, a(n) for n = 1..10000
Prime Curios, Self-describing primes

Cf. A047841, A059504, A109775, A109776, A173101.

More terms from Giovanni Resta, Aug 14 2019

A059504 Numbers k with the property that reading k gives correct, although not necessarily complete, information about itself.

Original entry on oeis.org

10, 12, 13, 14, 15, 16, 17, 18, 19, 22, 1012, 1013, 1014, 1015, 1016, 1017, 1018, 1019, 1021, 1022, 1210, 1213, 1214, 1215, 1216, 1217, 1218, 1219, 1310, 1312, 1314, 1315, 1316, 1317, 1318, 1319, 1321, 1322, 1410, 1412, 1413, 1415, 1416, 1417, 1418, 1419

Offset: 1

Floor van Lamoen, Jan 19 2001

This is another sequence of "self-describing" numbers.

			Reading 1016 as "one 0, one 6", it states correctly that it contains one 0 and one 6.

G. C. Greubel, Table of n, a(n) for n = 1..1000

Cf. A109775.

A059504Q = Module[{i = IntegerDigits@#}, EvenQ@Length@i && SubsetQ[Reverse /@ Tally@i, Partition[i, 2]]] &; Select[Range@1419, A059504Q] (* JungHwan Min, Jan 15 2017 *)

More terms from Jud McCranie, Aug 13 2005

A173095 Partial sums of A108810.

Original entry on oeis.org

10153331, 20326464, 30559685, 40871218, 51193539, 63296870, 75460003, 87623334, 99816467, 112128400, 124441719, 139544852, 154778073, 170089706, 185421637, 200754756, 216907889, 233061220, 249234353, 265565884, 281897715

Offset: 1

Jonathan Vos Post, Feb 09 2010

Partial sums of self-describing primes, where the digits are described in any order, whereas in A047841 they must be described in increasing order. The subsequence of prime partial sums of self-describing primes begins: 10153331, 75460003. What is the smallest value in the subsubsequence of self-describing prime partial sums of self-describing primes?

			a(7) = 10153331 + 10173133 + 10233221 + 10311533 + 10322321 + 12103331 + 12163133 = 75460003 is prime. a(21) = 10153331 + 10173133 + 10233221 + 10311533 + 10322321 + 12103331 + 12163133 + 12163331 + 12193133 + 12311933 + 12313319 + 15103133 + 15233221 + 15311633 + 15331931 + 15333119 + 16153133 + 16153331 + 16173133 + 16331531 + 16331831.

Jud McCranie, Prime Curios, Self-describing primes.

Cf. A000040, A047841, A059504, A108810, A109775, A109776.

a(n) = SUM[i=1..n] A108810(i).

cp's OEIS Frontend

A108810 Self-describing primes.

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A059504 Numbers k with the property that reading k gives correct, although not necessarily complete, information about itself.

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A173095 Partial sums of A108810.

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