A337811 -id:A337811 - cp's OEIS frontend

A337810 Numbers k such that the number of prime factors, counted with multiplicity, of 2^k - 1 is less than the corresponding count for 2^k + 1.

1, 3, 5, 7, 9, 13, 15, 17, 19, 25, 26, 27, 31, 33, 34, 35, 37, 38, 41, 45, 46, 49, 51, 57, 59, 61, 62, 65, 67, 69, 77, 78, 81, 83, 85, 89, 91, 93, 97, 98, 99, 103, 107, 109, 111, 118, 122, 123, 125, 127, 129, 130, 131, 133, 134, 135, 137, 139, 141, 143, 145, 149

Offset: 1

Hugo Pfoertner, Sep 23 2020

nonn

Cf. A046051, A054992, A309942, A337811, A337812, A337813.

PARI
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for(n=1,150,if(bigomega(2^n-1)
				
```

A337812 Numbers k such that the number of prime factors, counted with multiplicity, of 2^k - 1 is greater than the corresponding count for 2^k + 1.

Original entry on oeis.org

4, 6, 8, 12, 16, 18, 20, 22, 24, 28, 30, 32, 36, 40, 42, 43, 44, 48, 52, 54, 56, 58, 60, 64, 66, 68, 70, 72, 76, 79, 80, 84, 87, 88, 90, 92, 94, 96, 100, 102, 104, 106, 108, 110, 112, 114, 116, 117, 119, 120, 124, 126, 128, 132, 136, 138, 140, 144, 146, 148, 151

Offset: 1

Hugo Pfoertner, Sep 23 2020

nonn

Cf. A046051, A054992, A309942, A337810, A337811, A337813.

Select[Range[152],PrimeOmega[2^#-1]>PrimeOmega[2^#+1]&] (* Harvey P. Dale, Dec 31 2022 *)

for(n=1,160,if(bigomega(2^n-1)>bigomega(2^n+1),print1(n,", ")))

A337813 Numbers k such that the number of distinct prime factors of 2^k - 1 is greater than the corresponding count for 2^k + 1.

Original entry on oeis.org

4, 8, 10, 12, 16, 20, 22, 24, 28, 30, 32, 36, 39, 40, 43, 44, 45, 48, 50, 52, 55, 56, 58, 60, 63, 64, 66, 68, 70, 72, 75, 76, 79, 80, 84, 87, 88, 90, 92, 94, 96, 99, 100, 102, 104, 106, 108, 110, 112, 116, 117, 119, 120, 124, 126, 128, 132, 135, 136, 140, 144

Offset: 1

Hugo Pfoertner, Sep 23 2020

nonn

Cf. A046799, A046800, A067886, A337810, A337811, A337812.

for(n=1,150,if(omega(2^n-1)>omega(2^n+1),print1(n,", ")))

cp's OEIS Frontend

A337810 Numbers k such that the number of prime factors, counted with multiplicity, of 2^k - 1 is less than the corresponding count for 2^k + 1.

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A337812 Numbers k such that the number of prime factors, counted with multiplicity, of 2^k - 1 is greater than the corresponding count for 2^k + 1.

Views

Author

Keywords

Crossrefs

Programs

Mathematica

PARI

A337813 Numbers k such that the number of distinct prime factors of 2^k - 1 is greater than the corresponding count for 2^k + 1.

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Author

Keywords

Crossrefs

Programs

PARI