# semiprime

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Wikipedia

semi- +‎ prime.

### Noun

semiprime (plural semiprimes)

1. (number theory) A natural number that is the product of two (not necessarily distinct) prime numbers.
• 2010, Jason Earls, The Lowbrow Experimental Mathematician, Lulu.com, page 145,
Again, to be perfectly clear, we are looking for c values that produce a low density of semiprimes when employing Euler's basic polynomial but changing the c values, in the range of x=1 to 10000. Some very early standouts are: c=4 which produces 799 semiprimes; c=6 which produces 532 semiprimes; c=12 which produces only 431 semiprimes; c=18 which produces 364 semiprimes, and c=30 which produces only 320 semiprimes.
• 2015, Jie Wang, Zachary A. Kissel, Introduction to Network Security: Theory and Practice, Wiley [under licence from Higher Education Press], page 113,
Firstly, we should change semiprimes from time to time, where a particular semiprime should only be used in a time interval shorter than the time required to factor an RSA challenge number of a similar length. Secondly, we should use semiprimes that consist of more than 200 decimal digits.
• 2015, Marius Coman, Two Hundred and Thirteen Conjectures on Primes: Collected Papers, Education Publishing, page 46,
In this paper I will define four sequences of numbers obtained through concatenation, definitions which also use the notion of “sum of the digits of a number”, sequences that have the property to produce many primes, semiprimes and products of very few prime factors.

#### Synonyms

• (product of two primes, not necessarily distinct): biprime

#### Translations

Proposition 4.4. A ring $\mathbf {R}$ is semiprime if and only if $\mathbf {R}$ is isomorphic to a subdirect product of prime rings.
Let $f$ be a semiprime fuzzy ideal of $S$ and $x\in S$ .