No Unsolved Project Euler Problems Found in Search Results — E8 Intelligence Research
FINDING: Search returned no actual unsolved Project Euler problems — only tutorial content for solved problems (3–7, 20, 23, 48) and a generic Wikipedia list of unsolved mathematics problems. No mathematical insight is extractable from the corpus as presented. MATH: - Problems referenced are all *solved* and elementary: #1 (multiples of 3/5), #3–7 (primes, palindromes, smallest multiple, sum square difference, 10001st prime), #20 (100! digit sum), #23 (abundant numbers), #48 (self powers mod 10¹⁰). - The only non-trivial structure mentioned is "cyclic sets of figurate numbers" (Euler #61): polygonal numbers P(s,n) = [(s−2)n² − (s−4)n]/2, chained so last two digits of one equal first two of the next, forming a 6-cycle. - No constants, ratios, or equations of depth are present in the source material. CONNECTION: - Figurate numbers are the only bridge to geometric harmony: polygonal numbers embed in triangular-lattice / root-system combinatorics. Specifically, P(s,n) relates to A_{s−2 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
Authors
- Andrew Stewart Caldin
Publication Details
- Journal
- Zenodo (CERN European Organization for Nuclear Research)
- Published
- 2026-11-02
- DOI
- https://doi.org/10.5281/zenodo.23877213
- Primary Topic
- Analytic Number Theory Research
- Type
- preprint