A146296 -id:A146296 - cp's OEIS frontend

A146295 Integers which are not the sum of a 4-almost prime and a prime.

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 20, 22, 24, 25, 28, 30, 32, 34, 36, 40, 44, 46, 48, 50, 52, 54, 60, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 96, 108, 114, 116, 120, 126, 130, 132, 136, 144, 150, 156, 162, 168, 174, 180, 204, 210, 216, 240, 246, 258

Offset: 2

Donovan Johnson, Nov 05 2008

Largest term is 60060 (see b-file). No more terms < 10^8. Conjectured to be complete.

			20 is in this sequence because no 4-almost prime and a prime sum to 20. 21 is not in this sequence because the sum of 16 (4-almost prime) and 5 (prime) is 21.

Donovan Johnson, Table of n, a(n) for n=2..196

Cf. A000040, A014613, A130588, A146296, A146297.

Complement[Range[1000], Union@Flatten@Outer[Plus, Select[Range[1000], PrimeOmega[#] == 4 &], Prime[Range[PrimePi[1000]]]]] (* Robert Price, Jun 16 2019 *)

A146297 Integers which are not the sum of a 6-almost prime and a prime.

Original entry on oeis.org

2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 68, 70, 72, 73, 74, 76, 78, 79

Offset: 2

Donovan Johnson, Nov 05 2008

nonn

Largest known term is 446185740 (see b-file). No more terms < 10^9.

			68 is in this sequence because no 6-almost prime and a prime sum to 68. 69 is not in this sequence because the sum of 64 (6-almost prime) and 5 (prime) is 69.

Donovan Johnson, Table of n, a(n) for n=2..20150

Cf. A000040, A046306, A130588, A146295, A146296.

Complement[Range[1000], Union@Flatten@Outer[Plus, Select[Range[1000], PrimeOmega[#] == 6 &], Prime[Range[PrimePi[1000]]]]] (* Robert Price, Jun 16 2019 *)

A152165 Largest number which is not the sum of an n-almost prime and a prime.

Original entry on oeis.org

10, 300, 60060, 3573570, 446185740

Offset: 2

Jonathan Vos Post, Mar 30 2009

All the values are conjectural and untrustworthy. - N. J. A. Sloane, Oct 05 2009

For n=1 see A061358. - N. J. A. Sloane, Oct 05 2009

Cf. A130588, A146295, A146296, A146297, A100949.

cp's OEIS Frontend

A146295 Integers which are not the sum of a 4-almost prime and a prime.

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A146297 Integers which are not the sum of a 6-almost prime and a prime.

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Author

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Examples

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Crossrefs

Programs

Mathematica

A152165 Largest number which is not the sum of an n-almost prime and a prime.

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Author

Keywords

Comments

Crossrefs