A036956 -id:A036956 - cp's OEIS frontend

A107715 Primes having only {0,1,2,3} as digits.

2, 3, 11, 13, 23, 31, 101, 103, 113, 131, 211, 223, 233, 311, 313, 331, 1013, 1021, 1031, 1033, 1103, 1123, 1201, 1213, 1223, 1231, 1301, 1303, 1321, 2003, 2011, 2111, 2113, 2131, 2203, 2213, 2221, 2311, 2333, 3001, 3011, 3023, 3121, 3203, 3221, 3301, 3313

Offset: 1

Rick L. Shepherd, May 22 2005

Jason Bard, Table of n, a(n) for n = 1..10000 (first 1000 terms from Reinhard Zumkeller)

Subsequence of A036956.
Cf. A036953 (primes containing digits from set {0, 1, 2}).
Cf. A010051, A007090, A193890, A385776.

a107715 n = a107715_list !! (n-1)
a107715_list = filter ((== 1) . a010051) a007090_list
-- Reinhard Zumkeller, Aug 11 2011

Select[Prime[Range[500]],Max[IntegerDigits[#]]<4&] (* Harvey P. Dale, May 09 2012 *)
Select[FromDigits/@Tuples[{0,1,2,3},4],PrimeQ] (* Harvey P. Dale, Mar 06 2016 *)

from gmpy2 import digits
from sympy import isprime
[int(digits(n,4)) for n in range(1000) if isprime(int(digits(n,4)))] # Chai Wah Wu, Jul 31 2014

print(list(islice(primes_with("0123"), 41))) # uses function/imports in A385776. Jason Bard, Jul 18 2025

A106112 Primes with minimal digit > 4.

Original entry on oeis.org

5, 7, 59, 67, 79, 89, 97, 557, 569, 577, 587, 599, 659, 677, 757, 769, 787, 797, 857, 859, 877, 887, 967, 977, 997, 5557, 5569, 5657, 5659, 5669, 5689, 5779, 5857, 5867, 5869, 5879, 5897, 5987, 6569, 6577, 6599, 6659, 6679, 6689, 6779, 6857, 6869, 6899, 6959

Offset: 1

Zak Seidov, May 07 2005

Jason Bard, Table of n, a(n) for n = 1..10000

Cf. A036956 (primes with maximal digit <= 4).

Cf. A106110, A106111, A106114, A106115.

Select[Prime[Range[1000]], Min[IntegerDigits[ # ]]>4&]

A386017 Primes having only {0, 1, 2, 4} as digits.

Original entry on oeis.org

2, 11, 41, 101, 211, 241, 401, 421, 1021, 1201, 2011, 2111, 2141, 2221, 2411, 2441, 4001, 4021, 4111, 4201, 4211, 4241, 4421, 4441, 10111, 10141, 10211, 11411, 12011, 12041, 12101, 12211, 12241, 12401, 12421, 14011, 14221, 14401, 14411, 20011, 20021, 20101, 20201

Offset: 1

Jason Bard, Jul 14 2025

Subsequence of A036956.
Supersequence of A036953, A260266, A260267.
Cf. A000040, A030430, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 2, 4]];

Select[FromDigits /@ Tuples[{0, 1, 2, 4}, n], PrimeQ]

primes_with(, 1, [0, 1, 2, 4]) \\ uses function in A385776

print(list(islice(primes_with("0124"), 41))) # uses function/imports in A385776

A386023 Primes having only {0, 1, 3, 4} as digits.

Original entry on oeis.org

3, 11, 13, 31, 41, 43, 101, 103, 113, 131, 311, 313, 331, 401, 431, 433, 443, 1013, 1031, 1033, 1103, 1301, 1303, 1433, 3001, 3011, 3041, 3301, 3313, 3331, 3343, 3413, 3433, 4001, 4003, 4013, 4111, 4133, 4441, 10103, 10111, 10133, 10141, 10301, 10303, 10313, 10331

Offset: 1

Jason Bard, Jul 14 2025

Subsequence of A036956.
Supersequence of A199341, A260044, A260266.
Cf. A000040, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 3, 4]];

Select[FromDigits /@ Tuples[{0, 1, 3, 4}, n], PrimeQ]

primes_with(, 1, [0, 1, 3, 4]) \\ uses function in A385776

print(list(islice(primes_with("0134"), 41))) # uses function/imports in A385776

A386085 Primes having only {1, 2, 3, 4} as digits.

Original entry on oeis.org

2, 3, 11, 13, 23, 31, 41, 43, 113, 131, 211, 223, 233, 241, 311, 313, 331, 421, 431, 433, 443, 1123, 1213, 1223, 1231, 1321, 1423, 1433, 2111, 2113, 2131, 2141, 2143, 2213, 2221, 2243, 2311, 2333, 2341, 2411, 2423, 2441, 3121, 3221, 3313, 3323, 3331, 3343, 3413

Offset: 1

Jason Bard, Jul 16 2025

Subsequence of A036956, A036958.
Supersequence of A062350, A199341, A199342, A260267.
Cf. A000040, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 2, 3, 4]];

Flatten[Table[Select[FromDigits /@ Tuples[{1, 2, 3, 4}, n], PrimeQ], {n, 7}]]

primes_with(, 1, [1, 2, 3, 4]) \\ uses function in A385776

print(list(islice(primes_with("1234"), 41))) # uses function/imports in A385776

cp's OEIS Frontend

A107715 Primes having only {0,1,2,3} as digits.

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A106112 Primes with minimal digit > 4.

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Mathematica

A386017 Primes having only {0, 1, 2, 4} as digits.

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Magma

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A386023 Primes having only {0, 1, 3, 4} as digits.

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Magma

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A386085 Primes having only {1, 2, 3, 4} as digits.

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Magma

Mathematica

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Python