A261181 -id:A261181 - cp's OEIS frontend

A261182 Primes having only {2, 7, 9} as digits.

2, 7, 29, 79, 97, 227, 229, 277, 727, 797, 929, 977, 997, 2297, 2729, 2777, 2797, 2927, 2999, 7229, 7297, 7727, 7927, 9227, 9277, 9929, 22229, 22277, 22279, 22727, 22777, 27277, 27299, 27779, 27799, 27997, 29297, 29927, 72227, 72229, 72277, 72727, 72797

Offset: 1

Vincenzo Librandi, Aug 11 2015

A020459, A020460 and A020471 are subsequences.

Jason Bard, Table of n, a(n) for n = 1..10000 (first 1000 terms from Chai Wah Wu)
Index to entries for primes with digits in a given set

Cf. similar sequences listed in A261181.

Cf. A000040, A020459, A020460, A020471, A385776.

[p: p in PrimesUpTo(2*10^5) | Set(Intseq(p)) subset [2, 7, 9]];

Select[Prime[Range[2 10^4]], Complement[IntegerDigits[#], {2, 7, 9}] == {} &]
Select[Flatten[Table[FromDigits/@Tuples[{2,7,9},n],{n,5}]],PrimeQ] (* Harvey P. Dale, Dec 17 2024 *)

from gmpy2 import is_prime
from itertools import product
A261182_list = [int(''.join(d)) for l in range(1,10) for d in product('279',repeat=l) if is_prime(int(''.join(d)))] # Chai Wah Wu, Aug 11 2015

A261183 Primes having only {4, 7, 9} as digits.

Original entry on oeis.org

7, 47, 79, 97, 449, 479, 499, 797, 947, 977, 997, 4447, 4799, 4999, 7477, 7499, 7949, 9479, 9497, 9749, 9949, 44449, 44497, 44777, 44797, 47497, 47777, 47779, 47797, 47947, 47977, 49477, 49499, 49747, 49999, 74449, 74747, 74779, 74797, 77447, 77477, 77479

Offset: 1

Vincenzo Librandi, Aug 11 2015

A020465, A020466 and A020471 are subsequences.

Alois P. Heinz, Table of n, a(n) for n = 1..20000
James Maynard and Brady Haran, Primes without a 7, Numberphile video (2019)
Index to entries for primes with digits in a given set

Cf. similar sequences listed in A261181.

Cf. A000040, A020465, A020466, A020471.

[p: p in PrimesUpTo(2*10^5) | Set(Intseq(p)) subset [4, 7, 9]];

Select[Prime[Range[6 10^4]], Complement[IntegerDigits[#], {4, 7, 9}] == {} &]

A261184 Primes having only {6, 7, 9} as digits.

Original entry on oeis.org

7, 67, 79, 97, 677, 769, 797, 967, 977, 997, 6679, 6779, 6967, 6977, 6997, 7669, 7699, 9677, 9679, 9697, 9767, 9769, 9967, 66697, 66797, 66977, 67679, 67699, 67777, 67967, 67979, 69677, 69697, 69767, 69779, 69997, 76667, 76679, 76697, 76777, 77699, 77797

Offset: 1

Vincenzo Librandi, Aug 11 2015

A020469 and A020471 are subsequences.

Alois P. Heinz, Table of n, a(n) for n = 1..10000
James Maynard and Brady Haran, Primes without a 7, Numberphile video (2019)
Index to entries for primes with digits in a given set

Cf. similar sequences listed in A261181.

Cf. A000040, A020469, A020471.

[p: p in PrimesUpTo(2*10^5) | Set(Intseq(p)) subset [6, 7, 9]];

Select[Prime[Range[6 10^4]], Complement[IntegerDigits[#], {6, 7, 9}] == {} &]
Select[Flatten[Table[FromDigits/@Tuples[{6,7,9},n],{n,5}]],PrimeQ] (* Harvey P. Dale, Jun 18 2021 *)

A384449 Primes having only {0, 4, 7} as digits.

Original entry on oeis.org

7, 47, 4007, 4447, 7477, 44777, 47407, 47777, 74047, 74077, 74707, 74747, 77047, 77447, 77477, 77747, 407047, 407707, 407747, 440047, 444007, 444047, 470077, 470447, 474077, 474707, 477047, 477077, 704447, 704477, 704747, 704777, 707407, 707747, 740477, 744077, 744407, 744707, 747407, 770047

Offset: 1

Jason Bard, May 29 2025

Subsequence of A030432.
Supersequence of A020465.
Cf. Primes that contain only the digits (0,k,7): A199327 (k=1), A261267 (k=2), A260378 (k=3), this sequence (k=4), A260827 (k=5), A261181 (k=9).
Cf. A000040.

[p: p in PrimesUpTo(2*10^6) | Set(Intseq(p)) subset [0, 4, 7]];

Select[FromDigits/@Tuples[{0, 4, 7}, 6], PrimeQ]

from sympy import sieve
A384449 = [p for p in sieve.primerange(10**6) if all(n in ['0','4','7'] for n in str(p))] # Jwalin Bhatt,  Jun 02 2025

from itertools import count, islice
from gmpy2 import digits, is_prime
def A384449_gen(): # generator of terms
    for i in count(1):
        if is_prime(m:=int(digits(i,3).replace('1','4').replace('2','7'))):
            yield m
A384449_list = list(islice(A384449_gen(),40)) # Chai Wah Wu, Jun 07 2025

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

A386054 Primes having only {0, 2, 7, 9} as digits.

Original entry on oeis.org

2, 7, 29, 79, 97, 227, 229, 277, 709, 727, 797, 907, 929, 977, 997, 2027, 2029, 2099, 2207, 2297, 2707, 2729, 2777, 2797, 2909, 2927, 2999, 7027, 7079, 7207, 7229, 7297, 7727, 7907, 7927, 9007, 9029, 9209, 9227, 9277, 9907, 9929, 20029, 20297, 20707, 20929, 22027

Offset: 1

Jason Bard, Jul 15 2025

Supersequence of A261181, A261182, A261267, A261268.

Cf. A000040, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 2, 7, 9]];

Select[FromDigits /@ Tuples[{0, 2, 7, 9}, n], PrimeQ]

primes_with(, 1, [0, 2, 7, 9]) \\ uses function in A385776

print(list(islice(primes_with("0279"), 41))) # uses function/imports in A385776

A386068 Primes having only {0, 3, 7, 9} as digits.

Original entry on oeis.org

3, 7, 37, 73, 79, 97, 307, 337, 373, 379, 397, 709, 733, 739, 773, 797, 907, 937, 977, 997, 3037, 3079, 3307, 3373, 3709, 3733, 3739, 3779, 3793, 3797, 3907, 7039, 7079, 7307, 7309, 7333, 7393, 7703, 7793, 7907, 7933, 7937, 7993, 9007, 9337, 9377, 9397, 9733

Offset: 1

Jason Bard, Jul 16 2025

Supersequence of A260378, A260382, A261181.

Cf. A000040, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 3, 7, 9]];

Select[FromDigits /@ Tuples[{0, 3, 7, 9}, n], PrimeQ]

primes_with(, 1, [0, 3, 7, 9]) \\ uses function in A385776

print(list(islice(primes_with("0379"), 41))) # uses function/imports in A385776

A386080 Primes having only {0, 5, 7, 9} as digits.

Original entry on oeis.org

5, 7, 59, 79, 97, 509, 557, 577, 599, 709, 757, 797, 907, 977, 997, 5009, 5059, 5077, 5099, 5507, 5557, 5779, 7057, 7079, 7507, 7559, 7577, 7757, 7759, 7907, 9007, 9059, 9907, 50077, 50599, 50707, 50777, 50909, 50957, 55009, 55057, 55079, 55579, 55799, 55997

Offset: 1

Jason Bard, Jul 16 2025

Supersequence of A260827, A260831, A261181, A385769.

Cf. A000040, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 5, 7, 9]];

Select[FromDigits /@ Tuples[{0, 5, 7, 9}, n], PrimeQ]

primes_with(, 1, [0, 5, 7, 9]) \\ uses function in A385776

print(list(islice(primes_with("0579"), 41))) # uses function/imports in A385776

A386083 Primes having only {0, 6, 7, 9} as digits.

Original entry on oeis.org

7, 67, 79, 97, 607, 677, 709, 769, 797, 907, 967, 977, 997, 6007, 6067, 6079, 6607, 6679, 6709, 6779, 6907, 6967, 6977, 6997, 7069, 7079, 7607, 7669, 7699, 7907, 9007, 9067, 9677, 9679, 9697, 9767, 9769, 9907, 9967, 60077, 60607, 60679, 60779, 66067, 66697, 66797

Offset: 1

Jason Bard, Jul 16 2025

Supersequence of A261181, A261184, A385770.

Cf. A000040, A385776.

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

Select[FromDigits /@ Tuples[{0, 6, 7, 9}, n], PrimeQ]

primes_with(, 1, [0, 6, 7, 9]) \\ uses function in A385776

print(list(islice(primes_with("0679"), 41))) # uses function/imports in A385776

A386084 Primes having only {0, 7, 8, 9} as digits.

Original entry on oeis.org

7, 79, 89, 97, 709, 787, 797, 809, 877, 887, 907, 977, 997, 7079, 7789, 7877, 7879, 7907, 8009, 8087, 8089, 8707, 8779, 8807, 8887, 8999, 9007, 9787, 9887, 9907, 70009, 70079, 70099, 70709, 70877, 70879, 70979, 70997, 70999, 77797, 77899, 77977, 77999, 78007

Offset: 1

Jason Bard, Jul 16 2025

Supersequence of A106110, A261181, A385771, A385772.

Cf. A000040, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [0, 7, 8, 9]];

Select[FromDigits /@ Tuples[{0, 7, 8, 9}, n], PrimeQ]

primes_with(, 1, [0, 7, 8, 9]) \\ uses function in A385776

print(list(islice(primes_with("0789"), 41))) # uses function/imports in A385776

cp's OEIS Frontend

A261182 Primes having only {2, 7, 9} as digits.

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A261183 Primes having only {4, 7, 9} as digits.

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A261184 Primes having only {6, 7, 9} as digits.

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A384449 Primes having only {0, 4, 7} as digits.

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

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A386054 Primes having only {0, 2, 7, 9} as digits.

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A386068 Primes having only {0, 3, 7, 9} as digits.

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A386080 Primes having only {0, 5, 7, 9} as digits.

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