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visits member for 4 years, 4 months
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10h
reviewed Approve Computing $\mathrm{gcd} (100!, 3^{100})$
15h
revised Are there infinitely many semi primes of the form $x^2 + 2x$ for integral $x$?
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15h
comment Are there infinitely many semi primes of the form $x^2 + 2x$ for integral $x$?
Scott Aaronson put $200,000 down in a similar situation scottaaronson.com/blog/?p=456 so it's not that absurd that the professor would offer $1000. As he said: "I’ve literally bet my house on it."
17h
comment Strict total ordering
@TobiasKildetoft: Post as an answer?
Jan
23
comment Prove that the sequence $p_i$ is bounded
@Pp..: Of course "eventually periodic" and "bounded" are identical for this sequence.
Jan
23
revised Prove that the sequence $p_i$ is bounded
match the other edit in the title, various corrections
Jan
23
awarded  Announcer
Jan
21
comment Closed Form for a Sequence
@TitoPiezasIII: It seems that $a_{n+1}/a_n\to+\infty$. Initial terms are -2, 5, -28, 255, 3740, 263172, 20054440, 1976545239, 241711405290, 35938407128470, 6384368521752738, 1335522591566108075, 324932372105125504356, 90977118921843539491715, 29044492832848568056028340, 10487611716068737266804984295, ....
Jan
20
revised Remainder of division
remove inapplicable tags
Jan
19
answered are there infinitely many primes in Fibonacci sequence
Jan
17
awarded  Revival
Jan
13
comment Checking if a relation is complete
@HagenvonEitzen: I don't need $a\subset a$ though -- you can conclude that for any $a$.
Jan
7
answered Why does the limit behavior of this function take over at 35?
Jan
5
comment Checking if a relation is complete
@GregoryJ.Puleo: Yes. Apparently you were not the only one confused; if you have any suggestions for clarifying the wording I would appreciate them. I'd really like to solve this problem!
Jan
5
comment Checking if a relation is complete
For example: My list might say (1) "a completely multiplicative sequence is multiplicative", (2) "a geometric sequence is a divisibility sequence"m, and (3) "a constant sequence is geometric". But in fact a completely multiplicative sequence is also a divisibility sequence, so my list is not complete because this cannot be derived from (1), (2), and (3). Also a constant sequence is a divisibility sequence, but this fact is represented in my list, it just takes two steps.
Jan
5
comment Checking if a relation is complete
@GregoryJ.Puleo: You're ignoring the critical word "list". $x\subset y$ but I want to find, say, $x_1\subset x_2\subset x_3$ where "$x_1\subset x_2$" and "$x_2\subset x_3$" appear on the list. If you can always find such $x_i$ then the list is complete. If you can't then there's something the list is missing.
Jan
2
comment Cramer and Riemann Conjecture Implication
So you think that this aimath.org/WWN/rh/articles/html/28a is false? (Serious question.)
Dec
29
comment Can I get a closed-form of $\frac{\zeta(2) }{2}-\frac{\zeta (4)}{2^3}+\frac{\zeta (6)}{2^5}-\frac{\zeta (8)}{2^7}+\cdots$?
PARI/GP and RIES. I haven't proved it, though -- I just verified it to 10,000 decimal places.
Dec
29
answered Can I get a closed-form of $\frac{\zeta(2) }{2}-\frac{\zeta (4)}{2^3}+\frac{\zeta (6)}{2^5}-\frac{\zeta (8)}{2^7}+\cdots$?
Dec
29
revised Can an orderable field always be ordered in a way that extends a given subfield's ordering?
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