A205558 -id:A205558 - cp's OEIS frontend

A205688 prime(k)-prime(j), where the pairs (k,j) are given by A205684 and A205685.

5, 10, 15, 10, 20, 10, 10, 20, 35, 30, 20, 30, 10, 40, 30, 20, 45, 40, 30, 10, 50, 40, 30, 10, 40, 30, 50, 30, 20, 65, 60, 50, 30, 20, 60, 40, 30, 10, 70, 60, 50, 30, 20, 60, 50, 20, 80, 70, 60, 40, 30, 10, 70, 60, 30, 10, 95, 90, 80, 60, 50, 30, 90, 70, 60, 40, 30

Offset: 1

Clark Kimberling, Jan 30 2012

nonn

For a guide to related sequences, see A205558.

			(See the example at A205684.)

Cf. A205684, A205558.

Mathematica
```
(See the program at A205684.)
```

A205689 Prime(A205685(n)), the n-th number s(j) such that 5 divides s(k)-s(j), where the pairs (k,j) are given by A205684 and A205685.

Original entry on oeis.org

1, 2, 3, 2, 4, 2, 2, 4, 7, 6, 4, 6, 2, 8, 6, 4, 9, 8, 6, 2, 10, 8, 6, 2, 8, 6, 10, 6, 4, 13, 12, 10, 6, 4, 12, 8, 6, 2, 14, 12, 10, 6, 4, 12, 10, 4, 16, 14, 12, 8, 6, 2, 14, 12, 6, 2, 19, 18, 16, 12, 10, 6, 18, 14, 12, 8, 6, 20, 18, 16, 12, 10, 6, 4, 21, 20, 18, 14, 12, 8

Offset: 1

Clark Kimberling, Jan 30 2012

nonn

For a guide to related sequences, see A205558.

			(See the example at A205684.)

Cf. A205684, A205558.

Mathematica
```
(See the program at A205684.)
```

A205695 prime(k)-prime(j), where the pairs (k,j) are given by A205691 and A205692.

Original entry on oeis.org

6, 6, 12, 6, 12, 6, 18, 12, 6, 24, 18, 12, 6, 24, 18, 12, 30, 24, 18, 6, 36, 30, 24, 18, 12, 36, 30, 24, 12, 6, 42, 36, 30, 24, 18, 6, 48, 42, 36, 30, 24, 12, 6, 54, 48, 42, 36, 30, 18, 12, 6, 54, 48, 42, 30, 24, 18, 60, 54, 48, 36, 30, 24, 6, 66, 60, 54, 48, 42, 30

Offset: 1

Clark Kimberling, Jan 31 2012

nonn

For a guide to related sequences, see A205558.

			(See the example at A205691.)

Cf. A205691, A205558.

Mathematica
```
(See the program at A205691.)
```

A205696 (prime(k)-prime(j))/6, where the pairs (k,j) are given by A205691 and A205692.

Original entry on oeis.org

1, 1, 2, 1, 2, 1, 3, 2, 1, 4, 3, 2, 1, 4, 3, 2, 5, 4, 3, 1, 6, 5, 4, 3, 2, 6, 5, 4, 2, 1, 7, 6, 5, 4, 3, 1, 8, 7, 6, 5, 4, 2, 1, 9, 8, 7, 6, 5, 3, 2, 1, 9, 8, 7, 5, 4, 3, 10, 9, 8, 6, 5, 4, 1, 11, 10, 9, 8, 7, 5, 4, 3, 2, 11, 10, 9, 7, 6, 5, 2

Offset: 1

Clark Kimberling, Jan 31 2012

nonn

For a guide to related sequences, see A205558.

			(See the example at A205691.)

Cf. A205691, A205558.

Mathematica
```
(See the program at A205691.)
```

A205700 Prime(A205698(n)), the n-th number s(k) such that 7 divides s(k)-s(j) for some j

Original entry on oeis.org

17, 19, 23, 31, 31, 37, 37, 41, 43, 47, 47, 53, 59, 59, 59, 61, 61, 61, 67, 67, 71, 71, 73, 73, 73, 73, 79, 79, 79, 83, 83, 89, 89, 89, 89, 97, 97, 97, 101, 101, 101, 101, 101, 103, 103, 103, 103, 103, 107, 107, 107, 107, 109, 109, 109, 113, 113, 113, 127

Offset: 1

Clark Kimberling, Jan 31 2012

nonn

For a guide to related sequences, see A205558.

			(See the example at A205698.)

Cf. A204890, A205698, A205558.

Mathematica
```
(See the program at A205698.)
```

A205718 Positions of multiples of 10 in A204890 (differences of primes).

Original entry on oeis.org

12, 19, 30, 34, 44, 50, 59, 62, 71, 77, 80, 84, 87, 95, 98, 103, 107, 111, 114, 119, 128, 130, 141, 147, 149, 157, 160, 165, 168, 176, 182, 184, 189, 192, 196, 199, 204, 206, 218, 220, 227, 233, 237, 240, 245, 247, 252, 261, 263, 270, 275, 280, 283

Offset: 1

Clark Kimberling, Jan 31 2012

nonn

For a guide to related sequences, see A205558.

			In A204890=(1,3,2,5,4,2,9,8,6,4,11,10,8,...), multiples of 10 are in positions 12,19,30,...   See the example at A205720.

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

Cf. A204890, A205720, A205558.

(See the program at A205720.)
Position[With[{prs=Prime[Range[30]]},Flatten[Table[prs[[n]]-Take[prs,n-1],{n,2,Length[prs]}]]],?(Divisible[#,10]&)]//Flatten (* _Harvey P. Dale, Jan 15 2022 *)

A205724 prime(k)-prime(j), where the pairs (k,j) are given by A205720 and A205721.

Original entry on oeis.org

10, 10, 20, 10, 10, 20, 30, 20, 30, 10, 40, 30, 20, 40, 30, 10, 50, 40, 30, 10, 40, 30, 50, 30, 20, 60, 50, 30, 20, 60, 40, 30, 10, 70, 60, 50, 30, 20, 60, 50, 20, 80, 70, 60, 40, 30, 10, 70, 60, 30, 10, 90, 80, 60, 50, 30, 90, 70, 60, 40, 30, 100, 90, 80, 60, 50

Offset: 1

Clark Kimberling, Jan 31 2012

nonn

For a guide to related sequences, see A205558.

			(See the example at A205720.)

Cf. A204890, A205720, A205558, A205725.

Mathematica
```
(See the program at A205720.)
```

A205673 Prime(A202560(n)), the n-th number s(k) such that 3 divides s(k)-s(j) for some j

Original entry on oeis.org

5, 11, 11, 13, 17, 17, 17, 19, 19, 23, 23, 23, 23, 29, 29, 29, 29, 29, 31, 31, 31, 37, 37, 37, 37, 41, 41, 41, 41, 41, 41, 43, 43, 43, 43, 43, 47, 47, 47, 47, 47, 47, 47, 53, 53, 53, 53, 53, 53, 53, 53, 59, 59, 59, 59, 59, 59, 59, 59, 59, 61, 61, 61, 61, 61, 61

Offset: 1

Clark Kimberling, Jan 30 2012

nonn

For a guide to related sequences, see A205558.

			(See the example at A205560.)

Cf. A205558, A205560.

Mathematica
```
(See the program at A205560.)
```

A205676 Positions of multiples of 4 in A204890 (differences of primes).

Original entry on oeis.org

5, 8, 10, 13, 18, 21, 23, 25, 26, 30, 32, 33, 36, 39, 42, 43, 47, 49, 50, 53, 54, 58, 61, 62, 65, 69, 72, 73, 76, 78, 80, 82, 83, 86, 87, 89, 93, 95, 96, 99, 100, 102, 105, 108, 111, 112, 115, 117, 118, 122, 124, 125, 128, 129, 131, 134, 135, 139, 142, 143

Offset: 1

Clark Kimberling, Jan 30 2012

nonn

For a guide to related sequences, see A205558.

			In A204890=(1,3,2,5,4,2,9,8,6,4,11,10,8,...), multiples of 4 are in positions 5,8,10,13,...
See the example at A205677.

Cf. A205677, A205558.

Mathematica
```
(See the program at A205677.)
```

A205679 Prime(A205677(n)), the n-th number s(k) such that 4 divides s(k)-s(j) for some j

Original entry on oeis.org

7, 11, 11, 13, 17, 17, 19, 19, 19, 23, 23, 23, 23, 29, 29, 29, 31, 31, 31, 31, 31, 37, 37, 37, 37, 41, 41, 41, 41, 41, 43, 43, 43, 43, 43, 43, 47, 47, 47, 47, 47, 47, 47, 53, 53, 53, 53, 53, 53, 59, 59, 59, 59, 59, 59, 59, 59, 61, 61, 61, 61, 61, 61, 61, 67, 67

Offset: 1

Clark Kimberling, Jan 30 2012

nonn

For a guide to related sequences, see A205558.

			(See the example at A205677.)

Cf. A205677, A205558.

Mathematica
```
(See the program at A205677.)
```

cp's OEIS Frontend

A205688 prime(k)-prime(j), where the pairs (k,j) are given by A205684 and A205685.

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A205689 Prime(A205685(n)), the n-th number s(j) such that 5 divides s(k)-s(j), where the pairs (k,j) are given by A205684 and A205685.

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Mathematica

A205695 prime(k)-prime(j), where the pairs (k,j) are given by A205691 and A205692.

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Mathematica

A205696 (prime(k)-prime(j))/6, where the pairs (k,j) are given by A205691 and A205692.

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Mathematica

A205700 Prime(A205698(n)), the n-th number s(k) such that 7 divides s(k)-s(j) for some j

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Mathematica

A205718 Positions of multiples of 10 in A204890 (differences of primes).

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Mathematica

A205724 prime(k)-prime(j), where the pairs (k,j) are given by A205720 and A205721.

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Programs

Mathematica

A205673 Prime(A202560(n)), the n-th number s(k) such that 3 divides s(k)-s(j) for some j

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Examples

Crossrefs

Programs

Mathematica

A205676 Positions of multiples of 4 in A204890 (differences of primes).

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