Prime Numbers

Crandall, R., & Pomerance, C. (2005). Prime Numbers: A Computational Perspective. Springer.

Type

Book

Intellectual base

Review or monograph

Year

2005

DOI

10.1007/0-387-28979-8

ISBN

9780387252827

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/0-387-28979-8

Cited by

4 citations across 4 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Carmichael number
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Fermat number
  • Current primality and factorization claims are time-sensitive and should be verified before canonical use; the stable entry emphasizes proved structural facts.
• Giuga Number
  • 561 as a boundary example. It is a Carmichael number, but it is not thereby a Giuga number

    This sourceFor 561 as a Carmichael number (Section 3.4.2); that it is not thereby a Giuga number follows from the definition given earlier in the article and is not in this book.

    Supported in partVerified against the source

    Read by an automated reader; not a human review. How support was checked

• Wilson quotient
  • … constitutive identity and a convenient observable transfers from A canonical example satisfies the full defining rule of Wilson quotient with all parameters and conventions explicit. to A careful use of Wilson quotient tests the constitutive rule and nearest confusable rather than relying on topical resemblance..

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Read against the text for 1 of 4 citations: 1 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.

Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.

See how references were verified.

Registry ID ref:21b2256dd809 · see in the full table