trustme.bro/r/…
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the claim
Odd numbers cannot be composite numbers.
the verdict
REFUTED
the evidence says no
refutedsupported
the weight of evidence
0 sources for · 5 against

Odd numbers can indeed be composite numbers (for example, 9, 15, and 21 are both odd and composite), directly refuting the claim.

Evidence against · 5
Wikipedia: Composite number
cited by 0
Reference article covering this claim directly
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How claims like this are judged

Judged against reference works: claims of this kind are settled by reference works, not journal abstracts.

More against · 4
OpenAIRE: The Definition of Prime Numbers Contradicts Its Very Own Existence.pdf
2021 · cited by 0
Item 13 explicitly refers to 'odd composite numbers' and discusses their properties, refuting the claim.
OpenAIRE: The Definition of Prime Numbers Contradicts Its Very Own Existence
2021 · cited by 0
Item 14 explicitly notes that 'odd composite numbers' exist and analyzes them.
OpenAIRE: The MokraBela Theorem: A New Algebraic Characterization of Prime Numbers via the Identity k(2n + k)
2026 · cited by 0
Item 15 provides an algebraic characterization for the set of all 'odd composite numbers', refuting the claim.
OpenAIRE: Hard sequence regarding the Goldbach Conjecture.
2025 · cited by 0
Item 16 explicitly cites 9 as 'the smallest odd composite number', refuting the claim.
Everything we examined (19) — 15 independent sources
This check searched the claim as stated. It did not run a separate search for evidence against it.
  1. Wikipedia: Composite numberreferencesame source L1refutes
  2. Wikipedia: Perfect numberreferencesame source L1no side takennot shown: read and judged not to bear on this claim
  3. Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.: Elementary theory of numbersreferenceno side takennot shown: read and judged not to bear on this claim
  4. University Paperbacks/Methuen: The fascination of Numbersreferenceno side takennot shown: read and judged not to bear on this claim
  5. Perseus Books: Mathematical mysteries : the beauty and magic of numbersreferenceno side takennot shown: read and judged not to bear on this claim
  6. Plenum Press: Mathematical mysteries : the beauty and magic of numbersreferenceno side takennot shown: read and judged not to bear on this claim
  7. Wiley: Prime numbers : the most mysterious figures in mathreferenceno side takennot shown: read and judged not to bear on this claim
  8. Samuel Yates: Repunits and Repetendsreferenceno side takennot shown: read and judged not to bear on this claim
  9. New York, Dover Publications: Recreations in the theory of numbers; the queen of mathematics entertainsreferenceno side takennot shown: read and judged not to bear on this claim
  10. Dover: Recreations in the theory of numbers : the queen of mathematics entertainsreferenceno side takennot shown: read and judged not to bear on this claim
  11. Wikisource: A History of Mathematics (1893)/Recent Times/Theory of Numbersreferencesame source L10no side takennot shown: read and judged not to bear on this claim
  12. Wikisource: 1911 Encyclopædia Britannica/Numberreferencesame source L10no side takennot shown: read and judged not to bear on this claim
  13. Wikisource: Pythagoras Source Book and Library/Part 2/Chapter 3referencesame source L10no side takennot shown: read and judged not to bear on this claim
  14. OpenAIRE: The Definition of Prime Numbers Contradicts Its Very Own Existence.pdfpeer-reviewedsame source L11refutes
  15. OpenAIRE: The Definition of Prime Numbers Contradicts Its Very Own Existencepeer-reviewedsame source L11refutes
  16. OpenAIRE: The MokraBela Theorem: A New Algebraic Characterization of Prime Numbers via the Identity k(2n + k)peer-reviewedrefutes
  17. OpenAIRE: Hard sequence regarding the Goldbach Conjecture.peer-reviewedrefutes
  18. OpenAIRE: Goldbach's Even Number 122peer-reviewedno side takennot shown: read and judged not to bear on this claim
  19. OpenAIRE: Structure of Perfect Numberspeer-reviewedno side takennot shown: read and judged not to bear on this claim
The paper trail · every fact has a biography
first checked06 Aug 2026
judged → REFUTED · 006 Aug 2026
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