Timeline for When does the sum of squares of initial primes equal a triangular number?
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Oct 4, 2023 at 8:49 | history | edited | YCor |
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| Jun 18, 2023 at 8:01 | comment | added | Antoine Balan | Can we prove that there are only two solutions of the equation ? Or is it impossible ? | |
| Jun 16, 2023 at 9:42 | answer | added | rosan98 | timeline score: 2 | |
| Jun 13, 2023 at 15:20 | history | edited | Joe Silverman | CC BY-SA 4.0 |
Changed title to be more specific
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| Jun 13, 2023 at 12:27 | answer | added | Peter Mueller | timeline score: 7 | |
| Jun 13, 2023 at 3:07 | comment | added | Noam D. Elkies | @StanleyYaoXiao The (7,36) solution leads to two well-known formulas for 666. To be sure that's a numerological motivation, not a mathematical one. The gp code k=0;s=0;forprime(p=2,prime(10^7),s+=p^2;k++;if(issquare(8*s+1,&m),print([k,(m-1)/2]))) finds the solutions (7,36) [OP] and (86,3169) [kodlu], and no others up to $10^7$. | |
| Jun 13, 2023 at 2:51 | history | edited | kodlu |
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| Jun 13, 2023 at 2:50 | answer | added | kodlu | timeline score: 0 | |
| Jun 13, 2023 at 2:39 | comment | added | kodlu | $(k,n)=(86,3169)$ seems to be another solution | |
| Jun 13, 2023 at 0:55 | comment | added | Stanley Yao Xiao | Is there any reason why this particular equation is of interest, and any reason why you believe that is the only solution? | |
| Jun 12, 2023 at 23:41 | history | asked | Antoine Balan | CC BY-SA 4.0 |