A079099 -id:A079099 - cp's OEIS frontend

A079100 Number of 1's in n# (n primorial) = 1's in A002110(n).

1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 3, 3, 2, 3, 3, 2, 2, 2, 2, 3, 3, 4, 1, 3, 5, 4, 5, 5, 6, 6, 5, 5, 8, 4, 7, 9, 5, 11, 5, 5, 11, 11, 9, 12, 11, 12, 11, 9, 14, 17, 10, 11, 6, 15, 10, 20, 8, 9, 9, 6, 10, 15, 14, 17, 13, 10, 12, 11, 15, 15, 17, 12, 18, 15, 19, 13, 29, 16, 8, 14, 20, 16, 16, 32, 20, 16, 23

Offset: 0

Cino Hilliard, Feb 03 2003

Alois P. Heinz, Table of n, a(n) for n = 0..10000 (999 terms from Vincenzo Librandi)

Cf. A002110. A079099.

DigitCount[#, 10, 1]&/@Rest[FoldList[Times, 1, Prime[Range[100]]]] (* Vincenzo Librandi, Apr 07 2014 *)

PARI
```
\\ See program in A079099.
```

Offset corrected and a(0) added by Alois P. Heinz, Jul 21 2025

A079110 Number of 2's in n# (n primorial) = 2's in A002110(n).

Original entry on oeis.org

0, 1, 0, 0, 1, 1, 0, 0, 0, 3, 1, 1, 1, 4, 1, 1, 1, 4, 2, 2, 1, 5, 2, 4, 1, 3, 3, 11, 1, 4, 4, 2, 6, 5, 2, 5, 8, 5, 3, 7, 5, 9, 8, 7, 12, 5, 5, 8, 7, 7, 6, 16, 14, 7, 12, 11, 7, 12, 6, 10, 13, 7, 14, 12, 16, 11, 14, 10, 14, 11, 22, 12, 10, 27, 19, 18, 6, 17, 18, 16, 13, 16, 19, 16, 12, 20, 21, 12, 21, 18, 18

Offset: 0

Cino Hilliard, Feb 03 2003

Alois P. Heinz, Table of n, a(n) for n = 0..10000 (999 terms from Vincenzo Librandi)

Cf. A002110, A079099.

DigitCount[#, 10, 2]&/@Rest[FoldList[Times, 1, Prime[Range[100]]]] (* Vincenzo Librandi, Apr 07 2014 *)

PARI
```
\\ See program in A079099.
```

Offset corrected by Alois P. Heinz, Jul 21 2025

A079113 Number of 3's in n# (n primorial) = 3's in A002110(n).

Original entry on oeis.org

0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 4, 0, 2, 2, 3, 1, 2, 2, 3, 1, 5, 5, 8, 4, 3, 3, 3, 7, 2, 6, 9, 8, 9, 4, 9, 6, 5, 4, 6, 7, 6, 11, 8, 7, 16, 11, 6, 8, 12, 8, 12, 8, 12, 4, 16, 11, 4, 15, 14, 15, 11, 15, 14, 8, 13, 20, 10, 8, 18, 14, 15, 14, 16, 14, 16, 12, 22, 17, 17, 15, 17, 17, 20, 14, 16, 21, 25

Offset: 0

Cino Hilliard, Feb 03 2003

Alois P. Heinz, Table of n, a(n) for n = 0..10000 (999 terms from Vincenzo Librandi)

Cf. A002110, A079099.

DigitCount[#, 10, 3]&/@Rest[FoldList[Times, 1, Prime[Range[100]]]] (* Vincenzo Librandi, Apr 07 2014 *)

PARI
```
\\ See program in A079099.
```

Offset corrected by Alois P. Heinz, Jul 21 2025

A079123 Number of 4's in n# (n primorial) = 4's in A002110(n).

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 3, 3, 1, 1, 0, 2, 4, 5, 2, 2, 4, 2, 1, 8, 3, 7, 9, 4, 4, 6, 5, 3, 8, 2, 8, 3, 9, 6, 4, 6, 8, 7, 7, 4, 12, 4, 15, 10, 10, 9, 13, 10, 15, 7, 7, 19, 15, 9, 20, 12, 11, 12, 15, 19, 12, 15, 20, 10, 12, 13, 13, 19, 16, 13, 21, 17, 17, 23, 19, 13, 13, 15, 18, 20, 16, 27

Offset: 0

Cino Hilliard, Feb 03 2003

Alois P. Heinz, Table of n, a(n) for n = 0..10000 (999 terms from Vincenzo Librandi)

Cf. A002110, A079099.

Count[IntegerDigits[#], 4]&/@FoldList[Times, 1, Prime[Range[90]]] (* Harvey P. Dale, Oct 12 2011 *)

PARI
```
\\ See program in A079099.
```

Offset corrected by Alois P. Heinz, Jul 21 2025

A079127 Number of 5's in n# (n primorial).

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 5, 3, 2, 2, 6, 6, 6, 2, 4, 4, 1, 3, 3, 4, 2, 5, 7, 6, 6, 10, 5, 9, 5, 13, 7, 9, 7, 7, 12, 9, 5, 8, 6, 9, 13, 7, 12, 16, 4, 13, 10, 11, 12, 19, 13, 17, 12, 10, 9, 14, 14, 15, 15, 14, 19, 12, 26, 14, 18, 11, 11, 18, 18, 22, 8, 23, 22, 11, 21, 14, 26, 18

Offset: 0

Cino Hilliard, Feb 03 2003

Number of 5's in A002110(n).

Alois P. Heinz, Table of n, a(n) for n = 0..10000 (999 terms from Vincenzo Librandi)

Cf. A002110, A079099.

DigitCount[#, 10, 5]&/@Rest[FoldList[Times, 1, Prime[Range[100]]]] (* Vincenzo Librandi, Apr 07 2014 *)

PARI
```
\\ See program in A079099.
```

Offset corrected by Alois P. Heinz, Jul 21 2025

A079133 Number of 6's in n# (n primorial) = 6's in A002110(n).

Original entry on oeis.org

0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 3, 1, 0, 1, 2, 1, 0, 2, 1, 1, 4, 2, 3, 4, 4, 3, 6, 4, 4, 6, 8, 5, 5, 4, 8, 6, 5, 5, 13, 7, 9, 6, 7, 6, 6, 6, 9, 6, 9, 8, 6, 7, 8, 7, 10, 9, 12, 10, 12, 6, 11, 9, 6, 12, 7, 16, 21, 17, 10, 21, 12, 21, 14, 11, 15, 17, 26, 14, 14, 18, 18, 19, 12, 18, 16, 17, 25, 17, 15, 11, 15

Offset: 0

Cino Hilliard, Feb 03 2003

Alois P. Heinz, Table of n, a(n) for n = 0..10000 (999 terms from Vincenzo Librandi)

Cf. A002110, A079099.

DigitCount[#, 10, 6]&/@Rest[FoldList[Times, 1, Prime[Range[100]]]] (* Vincenzo Librandi, Apr 07 2014 *)

PARI
```
\\ See program in A079099.
```

Offset corrected by Alois P. Heinz, Jul 21 2025

A079134 Number of 8's in n# (n primorial) = 8's in A002110(n).

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 5, 2, 0, 4, 4, 2, 1, 2, 2, 3, 1, 4, 6, 2, 5, 3, 3, 1, 4, 0, 8, 5, 5, 4, 1, 10, 6, 5, 10, 5, 10, 8, 6, 5, 8, 8, 7, 6, 6, 13, 7, 9, 9, 11, 9, 9, 13, 13, 11, 14, 16, 8, 9, 11, 13, 13, 11, 15, 10, 16, 14, 16, 18, 18, 27, 12, 12, 23, 23, 22, 23, 18, 16, 18, 17, 17

Offset: 0

Cino Hilliard, Feb 03 2003

Alois P. Heinz, Table of n, a(n) for n = 0..10000 (999 terms from Vincenzo Librandi)

Cf. A002110, A079099.

DigitCount[#, 10, 8]&/@Rest[FoldList[Times, 1, Prime[Range[90]]]] (* Harvey P. Dale, Apr 04 2014 *)

PARI
```
\\ See program in A079099.
```

Offset corrected by Alois P. Heinz, Jul 21 2025

A079135 Number of 7's in n# (n primorial) = 7's in A002110(n).

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 3, 2, 3, 3, 2, 2, 5, 4, 5, 5, 3, 2, 6, 9, 4, 3, 10, 7, 2, 4, 2, 13, 2, 5, 4, 6, 9, 6, 6, 9, 7, 10, 9, 11, 10, 8, 5, 5, 7, 6, 10, 16, 10, 14, 12, 14, 10, 16, 13, 10, 12, 14, 13, 16, 17, 13, 20, 14, 11, 12, 8, 10, 15, 17, 9, 16, 15, 26, 21, 18, 19, 20, 28, 20, 12

Offset: 0

Cino Hilliard, Feb 03 2003

Alois P. Heinz, Table of n, a(n) for n = 0..10000 (999 terms from Vincenzo Librandi)

Cf. A002110, A079099.

DigitCount[#, 10, 7]&/@Rest[FoldList[Times, 1, Prime[Range[100]]]] (* Vincenzo Librandi, Apr 07 2014 *)

PARI
```
\\ See program in A079099.
```

Offset corrected by Alois P. Heinz, Jul 21 2025

A079163 Number of 9's in n# (n primorial) = 9's in A002110(n).

Original entry on oeis.org

0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 2, 1, 0, 0, 0, 2, 2, 2, 3, 2, 5, 4, 3, 4, 1, 2, 2, 4, 7, 7, 4, 6, 6, 3, 7, 4, 8, 7, 5, 11, 11, 8, 7, 14, 8, 8, 13, 10, 8, 5, 16, 6, 8, 10, 5, 14, 14, 14, 12, 15, 15, 15, 11, 7, 12, 14, 13, 18, 15, 17, 10, 17, 13, 18, 14, 13, 16, 20, 16, 14, 17, 19, 19, 18, 22, 13, 19, 17, 17, 24, 23

Offset: 0

Cino Hilliard, Feb 03 2003

Alois P. Heinz, Table of n, a(n) for n = 0..10000 (999 terms from Vincenzo Librandi)

Cf. A002110, A079099.

DigitCount[#, 10, 9]&/@Rest[FoldList[Times, 1, Prime[Range[90]]]] (* Harvey P. Dale, Dec 07 2011 *)

PARI
```
\\ See program in A079099.
```

Offset corrected by Alois P. Heinz, Jul 21 2025

cp's OEIS Frontend

A079100 Number of 1's in n# (n primorial) = 1's in A002110(n).

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A079110 Number of 2's in n# (n primorial) = 2's in A002110(n).

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A079113 Number of 3's in n# (n primorial) = 3's in A002110(n).

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A079123 Number of 4's in n# (n primorial) = 4's in A002110(n).

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A079127 Number of 5's in n# (n primorial).

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A079133 Number of 6's in n# (n primorial) = 6's in A002110(n).

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PARI

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A079134 Number of 8's in n# (n primorial) = 8's in A002110(n).

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Programs

Mathematica

PARI

Extensions

A079135 Number of 7's in n# (n primorial) = 7's in A002110(n).

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Mathematica