A337812 -id:A337812 - 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
```
for(n=1,150,if(bigomega(2^n-1)
				
```

A337811 Numbers k such that the number of distinct prime factors of 2^k - 1 is less than the corresponding count for 2^k + 1.

Original entry on oeis.org

1, 5, 7, 13, 17, 19, 25, 26, 31, 34, 35, 37, 38, 41, 46, 49, 59, 61, 62, 65, 67, 77, 78, 83, 85, 89, 91, 93, 97, 98, 103, 107, 109, 118, 122, 123, 125, 127, 131, 133, 134, 137, 139, 143, 145, 147, 149, 153, 157, 170, 173, 175, 177, 185, 186, 189, 193, 194, 195

Offset: 1

Hugo Pfoertner, Sep 23 2020

nonn

Cf. A046799, A046800, A067886, A337810, A337812, A337813.

Select[Range[200],PrimeNu[2^#-1]Harvey P. Dale, Nov 04 2023 *)

PARI
```
for(n=1,200,if(omega(2^n-1)
				
```

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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PARI

A337811 Numbers k such that the number of distinct prime factors of 2^k - 1 is less 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.

Views

Author

Keywords

Crossrefs

Programs

PARI