2022-03-11, 23:25 | #2 |
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
7^{2}·73 Posts |
Like Grand Riemann hypothesis, n conjecture, Bateman–Horn conjecture, I like the conjecture including as many conjectures as possible, e.g.
A085398 (instead of its subsequence), including A066180 (prime n), A103795 (n=2*p with odd prime p), A056993 (n=2^i with i>=1), A153438 (n=3^i with i>=2), A246120 (n=2*3^i with i>=1), A246119 (n=2^i*3 with i>=1), A298206 (n=2^i*3^2 with i>=1), A246121 (n=2^i*3^i with i>=1), A206418 (n=5^i with i>=2), A205506 (n=2^i*3^j with i,j>=1), A181980 (n=2^i*5^j with i,j>=1). Smallest totient number k > 1 such that n*k is a nontotient number, or 0 if no such number exists (instead of its subsequences A350085 (n in A007617) and A350086 (n in A005277)) A326615 (instead of A306499, there is a similar extension for A306500, but this sequence is currently not in OEIS) A309129 (instead of A000926 and A003173, note that there are some numbers in A309129 which are in neither A000926 nor in A003173, such as 247 and 267 (also 1467, but 1467 = 3^2 * 163, thus it is equivalent to 163) (also a similar sequence for +n (instead of -n) is a quadratic nonresidue modulo all odd primes p <= sqrt(n) which do not divide n, the largest such n is (conjectured to be) 1722, but this sequence is currently not in OEIS) A347567 and A347568 (instead of A020495, A065377, A060003, A042978, A065397, A255904) (twice square numbers and twice triangular numbers are excluded since they will make infinite families, thus especially not A064233, A014090, A076768, A111908) A039951 (composite n, nonsquarefree n, perfect power n, are not excluded) A247093 and proposed A326653 (instead of their subsequences A128164, A125713, A084742, A247244) A328497 (also has the terms 16843^4 and 2124679^4, see A088164) instead of A228562 and A267824 (also not A082180 and A136327, since they include infinite families (the primes and the square of the primes and the cube of the primes) Extended Sierpinski and Riesel problems (instead of the original Sierpinski and Riesel problems, extended these conjectures to the k such that k+-1 is not coprime to b-1, also GFN, half GFN, GRU, are not excluded) The minimal prime (start with b+1) problem (including finding the smallest prime of these form for fixed base b: (b^n-1)/(b-1), b^n+1, (b^n+1)/2 (n>=2), k*b^n+1 for all k<b, k*b^n-1 for all k<b, b^n+k for all k<b, b^n-k (n>=2) for all k<b) But should not including repeating problems (e.g. A061653(2*n) (which is currently not in OEIS, but a similar sequence (I do not like this sequence, since this sequence does not satisfying the condition that the n should be sorted) A061494) rather than A061653(n) (also not A000927(n), since composite n should not be excluded) Last fiddled with by sweety439 on 2022-03-13 at 08:03 |
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