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

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
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No Unsolved Project Euler Problems Found in Search Results — E8 Intelligence Research

Andrew Stewart Caldin
10 links
Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
preprint

No Unsolved Project Euler Problems Found in Search Results — E8 Intelligence Research

Andrew Stewart Caldin
preprint en

Abstract

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

Zenodo (CERN European Organization for Nuclear Research)
Analytic Number Theory Research
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