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These are secret numbers that increase regularly. What are the next two numbers? If you like numbers, it will be fun.

  1. $2^3 \times224299$
  2. $2^2 \times 3^2 \times 19 \times 3557$
  3. $2 \times 5 \times 320647$
  4. $2 \times 599 \times 3011$
  5. $2 \times 29 \times 64283$
  6. $2^3 \times 7 \times 11^3 \times 59$
  7. $2^3 \times 7 \times 47 \times 1877$
  8. $2^8 \times 19 \times 1229$
  9. $2^2 \times 1639271$
  10. $2^3 \times 17 \times 109 \times 569$
  11. $2^3 \times 5^3 \times 17 \times 503$
  12. $2^4 \times 3 \times 17 \times 29 \times 383$
  13. $2^3 \times 233 \times 5051$
  14. $2 \times 41 \times 127373$
  15. $2^2 \times 3^3 \times 101141$
  16. $2 \times 3 \times 5 \times 7^2 \times 7541$
  17. $2^2 \times 3^3 \times 107621$
  18. $2^4 \times 746723$
  19. $2 \times 3 \times 2051923$
  20. $2^2 \times 3 \times 11 \times 94433$
  21. $2 \times 139 \times 46061$
  22. $2 \times 83 \times 81847$
  23. $2^2 \times 37 \times 99233$
  24. $2 \times 5 \times 1522067$
  25. $2^4 \times 1022963$
  26. ??
  27. ??

$26^{th}$ and $27^{th}$ number ?

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2
  • $\begingroup$ Can we be guaranteed that the factorization into primes isn't a red herring? That their actual products can safely be ignored? $\endgroup$
    – Feryll
    Commented Oct 1, 2020 at 7:21
  • $\begingroup$ yes it can be ignored, but it will certainly be an even number. $\endgroup$
    – Mamu
    Commented Oct 2, 2020 at 18:51

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