A020468 -id:A020468 - cp's OEIS frontend

A260831 Primes having only {5, 7, 9} as digits.

5, 7, 59, 79, 97, 557, 577, 599, 757, 797, 977, 997, 5557, 5779, 7559, 7577, 7757, 7759, 55579, 55799, 55997, 57557, 57559, 57977, 59557, 59779, 59797, 59957, 59999, 75557, 75577, 75797, 75979, 75997, 77557, 77797, 77977, 77999, 79559, 79579, 79757, 79777

Offset: 1

Vincenzo Librandi, Aug 03 2015

A020467, A020468 and A020471 are subsequences.

Subsequence of A030096.

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 A260827.

Cf. A000040, A020467, A020468, A020471, A030096.

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

Select[Prime[Range[2 10^5]], Complement[IntegerDigits[#], {5, 7, 9}] == {} &]

A260227 Primes having only {3, 5, 9} as digits.

Original entry on oeis.org

3, 5, 53, 59, 353, 359, 593, 599, 953, 3359, 3533, 3539, 3559, 3593, 5333, 5393, 5399, 5939, 5953, 9533, 9539, 33353, 33359, 33533, 33599, 35339, 35353, 35393, 35533, 35593, 35933, 35993, 35999, 39359, 39953, 53353, 53359, 53593, 53939, 53959, 53993

Offset: 1

Vincenzo Librandi, Jul 22 2015

A020462 and A020468 are subsequences.

Alois P. Heinz, Table of n, a(n) for n = 1..10000
Index to entries for primes with digits in a given set

Cf. similar sequences listed in A260223.

Cf. A020462, A020468.

[p: p in PrimesUpTo(2*10^5) | Set(Intseq(p)) subset [3, 5, 9]];

Select[Prime[Range[2 10^4]], Complement[IntegerDigits[#], {3, 5, 9}]=={} &]
Select[Table[FromDigits/@Tuples[{3,5,9},n],{n,5}]//Flatten,PrimeQ] (* Harvey P. Dale, Sep 07 2018 *)

A385781 Primes having only {1, 5, 9} as digits.

Original entry on oeis.org

5, 11, 19, 59, 151, 191, 199, 599, 911, 919, 991, 1151, 1511, 1559, 1951, 1999, 5119, 5519, 5591, 9151, 9199, 9511, 9551, 11119, 11159, 11519, 11551, 11959, 15199, 15511, 15551, 15559, 15919, 15959, 15991, 19559, 19919, 19991, 51151, 51199, 51511, 51551

Offset: 1

Jason Bard, Jul 13 2025

Supersequence of A020453, A020457, A020468.

Cf. A000040, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [1, 5, 9]];

Flatten[Table[Select[FromDigits /@ Tuples[{1, 5, 9}, n], PrimeQ], {n, 7}]]

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

print(list(islice(primes_with("159"), 41))) # uses function/imports in A385776

A385786 Primes having only {2, 5, 9} as digits.

Original entry on oeis.org

2, 5, 29, 59, 229, 599, 929, 2999, 9929, 22229, 22259, 25229, 25999, 29599, 29959, 52259, 52529, 52999, 55229, 55259, 55529, 59929, 59999, 92959, 95929, 95959, 99259, 99529, 99559, 99929, 225299, 225529, 229529, 252559, 255259, 259229, 295259, 522229, 522259

Offset: 1

Jason Bard, Jul 13 2025

Supersequence of A020460, A020468.

Cf. A000040, A030433, A385776.

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

Flatten[Table[Select[FromDigits /@ Tuples[{2, 5, 9}, n], PrimeQ], {n, 7}]]

primes_with(, 1, [2, 5, 9]) \\ uses function in A385776

print(list(islice(primes_with("259"), 41))) # uses function/imports in A385776

A385793 Primes having only {4, 5, 9} as digits.

Original entry on oeis.org

5, 59, 449, 499, 599, 4549, 4999, 5449, 9949, 44449, 44549, 44959, 45599, 45949, 45959, 49459, 49499, 49549, 49559, 49999, 54449, 54499, 54559, 54949, 54959, 55949, 59999, 94559, 94949, 94999, 95549, 95959, 99559, 444449, 445499, 449459, 449549, 449959, 455599

Offset: 1

Jason Bard, Jul 13 2025

Supersequence of A020466, A020468.

Cf. A000040, A030433, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [4, 5, 9]];

Flatten[Table[Select[FromDigits /@ Tuples[{4, 5, 9}, n], PrimeQ], {n, 7}]]

primes_with(, 1, [4, 5, 9]) \\ uses function in A385776

print(list(islice(primes_with("459"), 41))) # uses function/imports in A385776

A385797 Primes having only {5, 6, 9} as digits.

Original entry on oeis.org

5, 59, 569, 599, 659, 5569, 5659, 5669, 6569, 6599, 6659, 6959, 56569, 56599, 56659, 56999, 59659, 59669, 59699, 59999, 65599, 65699, 66569, 66959, 69959, 95569, 95959, 96959, 99559, 556559, 556999, 565559, 566659, 566999, 569599, 569659, 596569, 596599, 596669

Offset: 1

Jason Bard, Jul 13 2025

Supersequence of A020468.

Cf. A000040, A030433, A385776.

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

Flatten[Table[Select[FromDigits /@ Tuples[{5, 6, 9}, n], PrimeQ], {n, 7}]]

primes_with(, 1, [5, 6, 9]) \\ uses function in A385776

print(list(islice(primes_with("569"), 41))) # uses function/imports in A385776

A385798 Primes having only {5, 8, 9} as digits.

Original entry on oeis.org

5, 59, 89, 599, 859, 8599, 8999, 9859, 55589, 55889, 58889, 59999, 85889, 85999, 88589, 89599, 89899, 89959, 89989, 95959, 95989, 98899, 98999, 99559, 99859, 99989, 555589, 558599, 559859, 585889, 585899, 585989, 589859, 598999, 599899, 599959, 599999, 855889

Offset: 1

Jason Bard, Jul 14 2025

Supersequence of A020468, A020472.

Cf. A000040, A030433, A385776.

[p: p in PrimesUpTo(10^6) | Set(Intseq(p)) subset [5, 8, 9]];

Flatten[Table[Select[FromDigits /@ Tuples[{5, 8, 9}, n], PrimeQ], {n, 7}]]

primes_with(, 1, [5, 8, 9]) \\ uses function in A385776

print(list(islice(primes_with("589"), 41))) # uses function/imports in A385776

A385769 Primes having only {0, 5, 9} as digits.

Original entry on oeis.org

5, 59, 509, 599, 5009, 5059, 5099, 9059, 50599, 50909, 55009, 59009, 59509, 59999, 90059, 90599, 95009, 95959, 99559, 500009, 500509, 500909, 505559, 509909, 509959, 550009, 550909, 559099, 590099, 590599, 590959, 599009, 599959, 599999, 900959

Offset: 1

Jason Bard, Jul 09 2025

			5009 is a term because it is prime and has only {0,5,9} as digits.

Supersequence of A020468. Cf. A000040, A030433, A385776.

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

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

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

print(list(islice(primes_with("059"), 41))) # uses function/imports in A385776

A284382 Numbers k with digits 5 and 9 only.

Original entry on oeis.org

5, 9, 55, 59, 95, 99, 555, 559, 595, 599, 955, 959, 995, 999, 5555, 5559, 5595, 5599, 5955, 5959, 5995, 5999, 9555, 9559, 9595, 9599, 9955, 9959, 9995, 9999, 55555, 55559, 55595, 55599, 55955, 55959, 55995, 55999, 59555, 59559, 59595, 59599, 59955, 59959

Offset: 1

Jaroslav Krizek, Mar 28 2017

Prime terms are in A020468.

Michael S. Branicky, Table of n, a(n) for n = 1..10000

Numbers n with digits 5 and k only for k = 0 - 4 and 6 - 9: A169964 (k = 0), A276037 (k = 1), A072961 (k = 2), A284379 (k = 3), A256290 (k = 4), A256291 (k = 6), A284380 (k = 7), A284381 (k = 8), this sequence (k = 9).

[n: n in [1..100000] | Set(IntegerToSequence(n, 10)) subset {5, 9}];

Join @@ ((FromDigits /@ Tuples[{5, 9}, #]) & /@ Range@ 5) (* Giovanni Resta, Mar 28 2017 *)

def a(n): return int(bin(n+1)[3:].replace('0', '5').replace('1', '9'))
print([a(n) for n in range(1, 45)]) # Michael S. Branicky, May 09 2021

A036321 Composite numbers whose prime factors contain no digits other than 5 and 9.

Original entry on oeis.org

25, 125, 295, 625, 1475, 2995, 3125, 3481, 7375, 14975, 15625, 17405, 35341, 36875, 74875, 78125, 87025, 176705, 184375, 205379, 299995, 358801, 374375, 390625, 435125, 479795, 497795, 883525, 921875, 1026895, 1499975, 1794005, 1871875

Offset: 1

Patrick De Geest, Dec 15 1998

All terms are a product of at least two terms of A020468. - David A. Corneth, Oct 09 2020

David A. Corneth, Table of n, a(n) for n = 1..10000
Index entries for sequences related to prime factors.

Cf. A020468, A036302-A036325.

Select[Range[1872000],CompositeQ[#]&&SubsetQ[{5,9},Flatten[ IntegerDigits/@ FactorInteger[#][[All,1]]]]&] (* Harvey P. Dale, Sep 17 2019 *)

Sum_{n>=1} 1/a(n) = Product_{p in A020468} (p/(p - 1)) - Sum_{p in A020468} 1/p - 1 = 0.0550718517... . - Amiram Eldar, May 22 2022

cp's OEIS Frontend

A260831 Primes having only {5, 7, 9} as digits.

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A260227 Primes having only {3, 5, 9} as digits.

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A385781 Primes having only {1, 5, 9} as digits.

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A385786 Primes having only {2, 5, 9} as digits.

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A385793 Primes having only {4, 5, 9} as digits.

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A385797 Primes having only {5, 6, 9} as digits.

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A385798 Primes having only {5, 8, 9} as digits.

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A385769 Primes having only {0, 5, 9} as digits.

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