A032733 -id:A032733 - cp's OEIS frontend

A032714 Numbers k such that k prefixed by '6' and followed by '3' is prime.

1, 4, 5, 7, 8, 11, 13, 14, 16, 17, 20, 26, 32, 34, 35, 37, 47, 55, 56, 65, 67, 70, 73, 76, 79, 80, 82, 83, 86, 88, 98, 104, 115, 122, 125, 128, 133, 134, 136, 140, 146, 148, 149, 154, 155, 158, 160, 161, 164, 167, 170, 172, 181, 184, 193, 200, 205, 214, 221

Offset: 1

Patrick De Geest, May 15 1998

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

Cf. A032702-A032733.

Select[Range[300],PrimeQ[FromDigits[Join[{6},IntegerDigits[#],{3}]]]&] (* Harvey P. Dale, Mar 09 2013 *)

Offset changed by Andrew Howroyd, Aug 13 2024

A032715 Numbers k such that k prefixed by '7' and followed by '3' is prime.

Original entry on oeis.org

3, 4, 7, 10, 19, 21, 24, 25, 28, 33, 39, 43, 52, 57, 58, 60, 64, 67, 70, 72, 75, 79, 82, 85, 87, 88, 93, 96, 99, 102, 114, 115, 123, 126, 129, 133, 135, 136, 141, 144, 145, 147, 148, 150, 156, 159, 163, 166, 169, 171, 184, 193, 196, 198, 199, 204, 205, 207

Offset: 1

Patrick De Geest, May 15 1998

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

Cf. A032702-A032733.

Select[Range[300],PrimeQ[FromDigits[Join[{7},IntegerDigits[#],{3}]]]&] (* Harvey P. Dale, Mar 31 2024 *)

Offset changed by Andrew Howroyd, Aug 13 2024

A032717 Numbers k such that k prefixed by '9' and followed by '3' is prime.

Original entry on oeis.org

5, 8, 10, 13, 17, 20, 28, 29, 32, 34, 40, 41, 43, 46, 47, 53, 61, 62, 64, 73, 74, 80, 83, 88, 92, 97, 103, 115, 116, 118, 119, 124, 125, 128, 130, 137, 139, 142, 143, 145, 146, 149, 151, 157, 158, 167, 170, 173, 175, 181, 182, 187, 194, 200, 203, 208, 214

Offset: 1

Patrick De Geest, May 15 1998

			953 is prime, so 5 is a term.

Matthew House, Table of n, a(n) for n = 1..10000

Cf. A032702-A032733.

Select[Range[250],PrimeQ[FromDigits[Join[{9},IntegerDigits[#],{3}]]]&] (* Harvey P. Dale, Jul 30 2013 *)

Offset corrected by Matthew House, Jan 15 2017

A032721 Numbers k such that k prefixed by '4' and followed by '7' is prime.

Original entry on oeis.org

5, 6, 8, 12, 15, 17, 21, 29, 32, 33, 35, 39, 44, 45, 50, 51, 54, 56, 59, 63, 65, 78, 81, 87, 93, 95, 96, 98, 101, 104, 105, 107, 111, 117, 122, 125, 135, 138, 146, 150, 159, 161, 162, 164, 168, 173, 177, 188, 189, 192, 194, 195, 201, 215, 218, 219, 222, 225

Offset: 1

Patrick De Geest, May 15 1998

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

Cf. A032702-A032733.

Select[Range[300],PrimeQ[FromDigits[Join[{4},IntegerDigits[#],{7}]]]&] (* Harvey P. Dale, Jan 08 2019 *)

Offset changed by Andrew Howroyd, Aug 13 2024

A032725 Numbers k such that k prefixed by '9' and followed by '7' is prime.

Original entry on oeis.org

0, 3, 4, 6, 7, 9, 12, 13, 15, 18, 22, 25, 27, 33, 37, 39, 43, 46, 49, 54, 58, 67, 69, 76, 78, 81, 85, 88, 90, 96, 109, 112, 123, 129, 136, 138, 139, 145, 157, 175, 180, 183, 186, 195, 196, 199, 207, 210, 217, 222, 223, 229, 231, 234, 235, 237, 238, 246, 250, 255

Offset: 1

Patrick De Geest, May 15 1998

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

Cf. A032702-A032733.

Select[Range[0,300],PrimeQ[FromDigits[Join[{9},IntegerDigits[#],{7}]]]&] (* Harvey P. Dale, Mar 01 2025 *)

Offset changed by Andrew Howroyd, Aug 13 2024

A032727 Numbers k such that k prefixed by '2' and followed by '9' is prime.

Original entry on oeis.org

2, 3, 6, 12, 17, 23, 26, 30, 33, 38, 39, 45, 53, 54, 57, 60, 65, 68, 69, 71, 72, 74, 78, 81, 87, 90, 93, 96, 99, 101, 105, 108, 113, 114, 116, 117, 126, 131, 137, 141, 149, 152, 155, 156, 158, 159, 164, 173, 179, 183, 185, 192, 203, 207, 210, 212, 215, 218, 222

Offset: 1

Patrick De Geest, May 15 1998

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

Cf. A032702-A032733.

Select[Range[300],PrimeQ[FromDigits[Join[{2},IntegerDigits[#],{9}]]]&] (* Harvey P. Dale, Apr 02 2017 *)

A032728 Numbers k such that k prefixed by '3' and followed by '9' is prime.

Original entry on oeis.org

4, 5, 7, 8, 10, 11, 16, 20, 22, 25, 29, 31, 32, 35, 38, 44, 46, 49, 52, 53, 55, 65, 70, 71, 73, 76, 77, 88, 91, 92, 98, 101, 103, 106, 107, 113, 115, 118, 121, 124, 125, 131, 137, 146, 148, 164, 169, 172, 176, 179, 184, 185, 200, 202, 205, 206, 208, 209, 211

Offset: 1

Patrick De Geest, May 15 1998

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

Cf. A032702-A032733.

Select[Range[250],PrimeQ[FromDigits[Join[{3},IntegerDigits[#],{9}]]]&] (* Harvey P. Dale, Aug 17 2021 *)

Offset changed by Andrew Howroyd, Aug 13 2024

A032729 Numbers k such that k prefixed by '4' and followed by '9' is prime.

Original entry on oeis.org

0, 1, 3, 4, 7, 9, 12, 13, 15, 21, 22, 25, 28, 33, 34, 40, 51, 54, 63, 64, 67, 72, 75, 78, 79, 88, 90, 91, 96, 99, 103, 114, 117, 118, 126, 129, 138, 139, 147, 151, 153, 154, 157, 160, 165, 166, 171, 172, 175, 180, 184, 187, 195, 196, 199, 201, 208, 213, 216

Offset: 1

Patrick De Geest, May 15 1998

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

Cf. A032702-A032733.

Select[Range[0,300],PrimeQ[FromDigits[Join[{4},IntegerDigits[#],{9}]]]&] (* Harvey P. Dale, Jun 04 2019 *)

A032735 Palindromes that cannot be prefixed and followed by any digit to form a prime.

Original entry on oeis.org

11111, 60806, 65356, 1115111, 1392931, 1643461, 1762671, 1797971, 1799971, 1863681, 1911191, 2005002, 2190912, 2429242, 2499942, 2512152, 2708072, 2714172, 2794972, 2845482, 2848482, 2942492, 2993992, 3150513, 3239323

Offset: 1

Patrick De Geest, May 15 1998

			11111 prefixed and followed with a digit from (1,2,3,4,5,6,7,8,9) never yields a prime: '2'11111'3' = 29 x 72797.

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Cf. A032682-A032685 and A032702-A032733.

A032708 Numbers k such that k prefixed by '8' and followed by '1' is prime.

Original entry on oeis.org

1, 2, 8, 10, 11, 16, 17, 19, 22, 23, 29, 31, 43, 46, 50, 52, 58, 64, 68, 73, 74, 76, 82, 83, 86, 94, 95, 97, 100, 103, 104, 107, 110, 113, 118, 128, 133, 137, 140, 142, 155, 161, 167, 170, 176, 190, 193, 197, 202, 203, 205, 214, 217, 223, 224, 226, 230, 235

Offset: 1

Patrick De Geest, May 15 1998

Cf. A032702-A032733.

Select[Range[250],PrimeQ[FromDigits[Join[{8}, IntegerDigits[#],{1}]]]&]  (* Harvey P. Dale, Mar 24 2011 *)

Offset changed by Andrew Howroyd, Aug 11 2024

cp's OEIS Frontend

A032714 Numbers k such that k prefixed by '6' and followed by '3' is prime.

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A032715 Numbers k such that k prefixed by '7' and followed by '3' is prime.

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A032717 Numbers k such that k prefixed by '9' and followed by '3' is prime.

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A032721 Numbers k such that k prefixed by '4' and followed by '7' is prime.

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A032725 Numbers k such that k prefixed by '9' and followed by '7' is prime.

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A032727 Numbers k such that k prefixed by '2' and followed by '9' is prime.

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A032728 Numbers k such that k prefixed by '3' and followed by '9' is prime.

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A032729 Numbers k such that k prefixed by '4' and followed by '9' is prime.

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Mathematica

A032735 Palindromes that cannot be prefixed and followed by any digit to form a prime.

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A032708 Numbers k such that k prefixed by '8' and followed by '1' is prime.