Revision History for A265042
(Underlined text is an addition;
strikethrough text is a deletion.)
Showing entries 1-10
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#43 by Alois P. Heinz at Sat Jun 15 11:41:49 EDT 2024
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#42 by Michel Marcus at Sat Jun 15 11:39:48 EDT 2024
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#41 by Michel Marcus at Sat Jun 15 11:39:42 EDT 2024
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In conclusion, a(5) is a number of the form 2*3*5*7*11*13*n - 2767, that is, 30030*n - 2767. Moreover we know that 209527 < a(5) < 419054. So a(5) is the one of these numbers: 237473, 267503, 297533, 327563, 357593, 387623, 417653. If we take into consideration the first four inequalities, which are 4 < 7 < 8, 29 < 51 < 58, 355 < 634 < 710, 6942 < 12623 < 13884, then 387623 seems a strong candidate for a(5) because of relevant proportions in inequalities.
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approved
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#40 by Charles R Greathouse IV at Mon Apr 11 14:59:27 EDT 2016
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#39 by Charles R Greathouse IV at Mon Apr 11 14:59:24 EDT 2016
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#38 by N. J. A. Sloane at Sun Dec 20 11:13:26 EST 2015
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#37 by N. J. A. Sloane at Sun Dec 20 11:13:17 EST 2015
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Due toFrom the inequality which is given in the formula section, since A000798(6) = 209527, we have 209527 < a(5) < 419054. The same inequality shows that a(17) has 36 digits (A000798 is currently known only for n <= 18).
If we want to analyseanalyze more deeply,
In conclusion, a(5) is thea number of the form 2*3*5*7*11*13*n - 2767, that is , 30030*n - 2767. Moreover we know that 209527 < a(5) < 419054. So a(5) is the one of these numbers : : 237473, 267503, 297533, 327563, 357593, 387623, 417653. And this trying to computing of a(5) also explains the reason of the fact that there is no a(5) in sequence, currently. At this point, ifIf we take into consideration the first four inequalities , which are 4 < 7 < 8, 29 < 51 < 58, 355 < 634 < 710, 6942 < 12623 < 13884, then 387623 seems a strong candidate for a(5) because of relevant proportions in inequalities.
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proposed
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Discussion
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| Sun Dec 20
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| N. J. A. Sloane: Edited
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#36 by Altug Alkan at Sun Dec 20 09:59:17 EST 2015
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#35 by Altug Alkan at Sun Dec 20 09:58:08 EST 2015
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| COMMENTS
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In conclusion, a(5) is the number of the form 2*3*5*7*11*13*n - 2767, that is 30030*n - 2767. Moreover we know that 209527 < a(5) < 419054. So a(5) is the one of these numbers : 237473, 267503, 297533, 327563, 357593, 387623, 417653. And this trying to computing of a(5) also explains the reason of the fact that there is no a(5) in sequence, currently. At this point, if we take into consideration first four inequalities which are 4 < 7 < 8, 29 < 51 < 58, 355 < 634 < 710, 6942 < 12623 < 13884, 387623 seems a strong candidate for a(5) because of relevant proportions in inequalities.
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#34 by Altug Alkan at Sun Dec 20 09:55:50 EST 2015
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In conclusion, a(5) is the number of the form 2*3*5*7*11*13*n - 2767, that is 30030*n - 2767. Moreover we know that 209527 < a(5) < 419054. So a(5) is the one of these numbers : 237473, 267503, 297533, 327563, 357593, 387623, 417653. And this trying to computing of a(5) also explains the reason of the fact that there is no a(5) in sequence, currently. At this point, if we take into consideration first four inequalities which are 4 < 7 < 8, 29 < 51 < 58, 355 < 634 < 710, 6942 < 12623 < 13884, 387623 seems a strong candidate for a(5) because of relevant proportions.
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