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Date: 14-2-2020
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Date: 17-9-2020
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Date: 20-12-2020
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Given an integer sequence , a prime number
is said to be a primitive prime factor of the term
if
divides
but does not divide any
for
. It is possible for a term
to have zero, one, or many primitive prime factors.
For example, the prime factors of the sequence are summarized in the following table (OEIS A005529).
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prime factorization | prime factors | primitive prime factors |
1 | 2 | 2 | 2 | 2 |
2 | 5 | 5 | 5 | 5 |
3 | 10 | ![]() |
2, 5 | ![]() |
4 | 17 | 17 | 17 | 17 |
5 | 26 | ![]() |
2, 13 | 13 |
6 | 37 | 37 | 37 | 37 |
7 | 50 | ![]() |
2, 5 | ![]() |
8 | 65 | ![]() |
5, 13 | ![]() |
9 | 82 | ![]() |
2, 41 | 41 |
10 | 101 | 101 | 101 | 101 |
REFERENCES:
Sloane, N. J. A. Sequence A005529/M1505 in "The On-Line Encyclopedia of Integer Sequences."
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