A385776 -id:A385776 - cp's OEIS frontend

A386358 Primes without {7, 9} as digits.

2, 3, 5, 11, 13, 23, 31, 41, 43, 53, 61, 83, 101, 103, 113, 131, 151, 163, 181, 211, 223, 233, 241, 251, 263, 281, 283, 311, 313, 331, 353, 383, 401, 421, 431, 433, 443, 461, 463, 503, 521, 523, 541, 563, 601, 613, 631, 641, 643, 653, 661, 683, 811, 821, 823

Offset: 1

Jason Bard, Jul 20 2025

Intersection of A038615 and A038617.

Cf. A000040, A020471, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 2, 3, 4, 5, 6, 8]];

Select[Prime[Range[120]], DigitCount[#, 10, 7] == 0 && DigitCount[#, 10, 9] == 0 &]

primes_with(, 1, [0, 1, 2, 3, 4, 5, 6, 8]) \\ uses function in A385776

print(list(islice(primes_with("01234568"), 41))) # uses function/imports in A385776

A386075 Primes having only {0, 4, 7, 9} as digits.

Original entry on oeis.org

7, 47, 79, 97, 409, 449, 479, 499, 709, 797, 907, 947, 977, 997, 4007, 4049, 4079, 4099, 4409, 4447, 4799, 4909, 4999, 7079, 7477, 7499, 7907, 7949, 9007, 9049, 9479, 9497, 9749, 9907, 9949, 40009, 40099, 40499, 40709, 40949, 44449, 44497, 44777, 44797, 44909

Offset: 1

Jason Bard, Jul 16 2025

Supersequence of A261181, A261183, A384449, A385768.

Cf. A000040, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 4, 7, 9]];

Select[FromDigits /@ Tuples[{0, 4, 7, 9}, n], PrimeQ]

primes_with(, 1, [0, 4, 7, 9]) \\ uses function in A385776

print(list(islice(primes_with("0479"), 41))) # uses function/imports in A385776

A385957 Prime(n) is the a(n)-th prime having its distinct digits.

Original entry on oeis.org

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 3, 1, 4, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 2, 1, 2, 3, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 5, 6, 3, 7, 3, 1, 1, 2, 1, 1, 4, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 3, 1, 1

Offset: 1

David A. Corneth, Jul 13 2025

			a(1) = 1 as prime(1) = 2 is the first prime having its distinct digits {2}.
a(11) = 2 as prime(11) = 31 is the second prime having its disitinct digits {1, 3} (the first is 13).
a(32) = 4 as prime(32) = 131 is the fourth prime having its distinct digits {1, 3} (the first three are 13, 31 and 113).

David A. Corneth, Table of n, a(n) for n = 1..10000
David A. Corneth, PARI program
Michael De Vlieger, Scatterplot of a(n), n = 1..10^6.

Cf. A086066, A254524, A385776.

Block[{c, f, p}, c[] := 0; f[x] := Union@ IntegerDigits[x]; Reap[Do[p = Prime[n]; Sow[++c[f[p] ] ], {n, 120}] ][[-1, 1]] ] (* Michael De Vlieger, Jul 13 2025 *)

PARI
```
\\ See Corneth link
```

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

A386018 Primes having only {0, 1, 2, 5} as digits.

Original entry on oeis.org

2, 5, 11, 101, 151, 211, 251, 521, 1021, 1051, 1151, 1201, 1511, 2011, 2111, 2221, 2251, 2521, 2551, 5011, 5021, 5051, 5101, 5501, 5521, 10111, 10151, 10211, 10501, 11251, 11551, 12011, 12101, 12211, 12251, 12511, 15101, 15121, 15511, 15551, 20011, 20021, 20051

Offset: 1

Jason Bard, Jul 14 2025

Supersequence of A036953, A199325, A385773.

Cf. A000040, A030430, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 2, 5]];

Select[FromDigits /@ Tuples[{0, 1, 2, 5}, n], PrimeQ]

primes_with(, 1, [0, 1, 2, 5]) \\ uses function in A385776

print(list(islice(primes_with("0125"), 41))) # uses function/imports in A385776

A386019 Primes having only {0, 1, 2, 6} as digits.

Original entry on oeis.org

2, 11, 61, 101, 211, 601, 661, 1021, 1061, 1201, 1601, 1621, 2011, 2111, 2161, 2221, 2621, 6011, 6101, 6121, 6211, 6221, 6661, 10061, 10111, 10211, 10601, 11161, 11261, 11621, 12011, 12101, 12161, 12211, 12601, 12611, 16001, 16061, 16111, 16661, 20011, 20021

Offset: 1

Jason Bard, Jul 14 2025

Supersequence of A036953, A199326, A285774.

Cf. A000040, A030430, A385776.

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

Select[FromDigits /@ Tuples[{0, 1, 2, 6}, n], PrimeQ]

primes_with(, 1, [0, 1, 2, 6]) \\ uses function in A385776

print(list(islice(primes_with("0126"), 41))) # uses function/imports in A385776

A386020 Primes having only {0, 1, 2, 7} as digits.

Original entry on oeis.org

2, 7, 11, 17, 71, 101, 107, 127, 211, 227, 271, 277, 701, 727, 1021, 1117, 1171, 1201, 1217, 1277, 1721, 1777, 2011, 2017, 2027, 2111, 2207, 2221, 2707, 2711, 2777, 7001, 7027, 7121, 7127, 7177, 7207, 7211, 7717, 7727, 10007, 10111, 10177, 10211, 10271, 10711

Offset: 1

Jason Bard, Jul 14 2025

Supersequence of A036953, A199327, A260889.

Cf. A000040, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 2, 7]];

Select[FromDigits /@ Tuples[{0, 1, 2, 7}, n], PrimeQ]

primes_with(, 1, [0, 1, 2, 7]) \\ uses function in A385776

print(list(islice(primes_with("0127"), 41))) # uses function/imports in A385776

A386021 Primes having only {0, 1, 2, 8} as digits.

Original entry on oeis.org

2, 11, 101, 181, 211, 281, 811, 821, 881, 1021, 1181, 1201, 1801, 1811, 2011, 2081, 2111, 2221, 2281, 2801, 8011, 8081, 8101, 8111, 8221, 8821, 10111, 10181, 10211, 11801, 11821, 12011, 12101, 12211, 12281, 12821, 18121, 18181, 18211, 20011, 20021, 20101, 20201

Offset: 1

Jason Bard, Jul 14 2025

Subsequence of A173580.
Supersequence of A036953, A061247, A385775.
Cf. A000040, A030430, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 2, 8]];

Select[FromDigits /@ Tuples[{0, 1, 2, 8}, n], PrimeQ]

primes_with(, 1, [0, 1, 2, 8]) \\ uses function in A385776

print(list(islice(primes_with("0128"), 41))) # uses function/imports in A385776

A386022 Primes having only {0, 1, 2, 9} as digits.

Original entry on oeis.org

2, 11, 19, 29, 101, 109, 191, 199, 211, 229, 911, 919, 929, 991, 1009, 1019, 1021, 1091, 1109, 1129, 1201, 1229, 1291, 1901, 1999, 2011, 2029, 2099, 2111, 2129, 2221, 2909, 2999, 9001, 9011, 9029, 9091, 9109, 9199, 9209, 9221, 9901, 9929, 10009, 10091, 10099

Offset: 1

Jason Bard, Jul 14 2025

Supersequence of A036953, A199329, A385776.

Cf. A000040, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 1, 2, 9]];

Select[FromDigits /@ Tuples[{0, 1, 2, 9}, n], PrimeQ]

primes_with(, 1, [0, 1, 2, 9]) \\ uses function in A385776

print(list(islice(primes_with("0129"), 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

cp's OEIS Frontend

A386358 Primes without {7, 9} as digits.

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A386075 Primes having only {0, 4, 7, 9} as digits.

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A385957 Prime(n) is the a(n)-th prime having its distinct digits.

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PARI

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

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A386018 Primes having only {0, 1, 2, 5} as digits.

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A386019 Primes having only {0, 1, 2, 6} as digits.

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Magma

Mathematica

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A386020 Primes having only {0, 1, 2, 7} as digits.

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Magma

Mathematica

PARI

Python

A386021 Primes having only {0, 1, 2, 8} as digits.

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