A062343 -id:A062343 - cp's OEIS frontend

A143863 Primes such that the sum of digits is a perfect power (A001597).

13, 17, 31, 53, 71, 79, 97, 103, 107, 211, 233, 251, 277, 349, 367, 431, 439, 457, 503, 521, 547, 619, 673, 691, 701, 709, 727, 853, 907, 997, 1021, 1061, 1069, 1087, 1151, 1201, 1223, 1249, 1429, 1447, 1483, 1511, 1601, 1609, 1627, 1663, 1699, 1753, 1789

Offset: 1

Giovanni Teofilatto, Sep 04 2008

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

Cf. A062338.

Select[Prime[Range[300]],GCD@@FactorInteger[Total[IntegerDigits[#]]][[;;,2]]>1&] (* Harvey P. Dale, Sep 18 2023 *)

Union of A062339, A062343, A106757, A106768, A107618 etc. [From R. J. Mathar, Sep 13 2008]

389, 569, 581, 659, 677 etc. removed by R. J. Mathar, Sep 13 2008

A158283 Prime numbers p such that 1 = abs(final digit of p - sum of all the other digits of p).

Original entry on oeis.org

23, 43, 67, 89, 113, 157, 179, 199, 223, 269, 313, 337, 359, 379, 449, 607, 719, 739, 809, 829, 919, 1013, 1033, 1103, 1123, 1213, 1237, 1259, 1279, 1303, 1327, 1439, 1459, 1549, 1619, 1709, 2003, 2069, 2089, 2113, 2137, 2179, 2203, 2269, 2339, 2539

Offset: 1

Juri-Stepan Gerasimov, Mar 15 2009

			23(1=3-2), 43(1=abs(3-4)), 67(1=abs(7-6)), 89(1=abs(9-8)), 113(1=3-(1+1)).

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

Cf. A000040, A156979.

Cf. also A062339, A062341, A062337, A062343, A107579.

ps1[n_]:=Module[{idn=IntegerDigits[n]},Abs[Last[idn]-Total[Most[idn]]] == 1]; Select[Prime[Range[400]],ps1] (* Harvey P. Dale, Jul 31 2012 *)

Entries checked by R. J. Mathar, May 19 2010

A158571 Primes whose digit sum is a single-digit nonprime.

Original entry on oeis.org

13, 17, 31, 53, 71, 103, 107, 211, 233, 251, 431, 503, 521, 701, 1021, 1061, 1151, 1201, 1223, 1511, 1601, 2011, 2141, 2213, 2411, 3001, 3023, 3041, 3203, 3221, 4013, 4211, 5003, 5021, 6011, 6101, 7001, 10007, 10061, 10111, 10133, 10151, 10223, 10313

Offset: 1

Parthasarathy Nambi, Mar 21 2009

It is interesting to observe that it is hard to find (I found none) primes whose digit sum is 6. On the contrary, it is easier to find primes whose digit sum is 8.

The digit sum 6 does not occur here because a number with digit sum 6 is divisible by 3 and therefore not prime. - R. J. Mathar, Mar 26 2009

			1061 is a prime whose digit sum is 8, which is a single-digit nonprime.

Robert Israel, Table of n, a(n) for n = 1..10000
Chris Caldwell, The First 1,000 Primes

Cf. A158217.

for i from 1 to 8 do if member(i,[1,3,7]) then S[1,i]:= {i} else S[1,i]:= {} fi od:
for d from 2 to 5 do
  for x from 1 to 8 do
    S[d,x]:= {};
    for y from 0 to x-1 do
      S[d,x]:= S[d,x] union map(t -> 10^(d-1)*y + t, S[d-1,x-y])
od od od:
select(isprime, S[5,4] union S[5,8]); # Robert Israel, Apr 14 2021

Union of A062339 and A062343. - R. J. Mathar, Mar 26 2009

Extended by R. J. Mathar, Mar 26 2009

cp's OEIS Frontend

A143863 Primes such that the sum of digits is a perfect power (A001597).

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A158283 Prime numbers p such that 1 = abs(final digit of p - sum of all the other digits of p).

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Mathematica

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A158571 Primes whose digit sum is a single-digit nonprime.

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