2 Prime Number, Deficient number, Fibonacci number
2 + 2 = 2 * 2
2 = 123 + 4 − 56 − 78 + 9
2 = 9 + 87 − 65 + 4 − 32 − 1
2 = 0^4 + 1^6 − 2^8 − 3^9 + 4^7 + 5^5 + 6^1 + 7^3 + 8^0 + 9^2
2 is a 3-hemiperfect number
2 = 4 - (4+4)/4 (four 4s)
\( {\displaystyle 2 = (1+6c^{3})^{3}+(1-6c^{3})^{3}+(-6c^{2})^{3} } \)
\( {\displaystyle 2 = 1\ 214\ 928^{3}+3\ 480\ 205^{3}+(-3\ 528\ 875)^{3} } \)
\( {\displaystyle 2 = 37\ 404\ 275\ 617^{3}+(-25\ 282\ 289\ 375)^{3}+(-33\ 071\ 554\ 596)^{3}=2,} \)
\( {\displaystyle 2 = 3\ 737\ 830\ 626\ 090^{3}+1\ 490\ 220\ 318\ 001^{3}+(-3\ 815\ 176\ 160\ 999)^{3}=2.} \)
Number k such that (2*k)!/k!-1 is prime.
Number k such that (7*10^k + 71)/3 is prime
Number k such that 8*10^k - 49 is prime. (751)
Numbers k such that (8*10^k + 49)/3 is prime.
Numbers k such that (35*10^k - 11)/3 is prime (1163)
Number k such that (11*10^k + 19)/3 is prime (373)
Numbers k such that 2^k + 9 is prime. (13)
Sophie Germain prime p: 2p+1 is also prime (5)
Number of prime knots with 5 crossings.
Number of squarefree graphs on 2 vertices
Numbers k such that k^2 divides 9^k - 1 (80)
Number k such that (16*10^k - 31)/3 is prime.
Cake number, maximal number of pieces resulting from 1 planar cuts through a cube (or cake)
Maximal number of pieces obtained by slicing a torus (or a bagel) with n cuts: (n^3 + 3*n^2 + 8*n)/6, n = 1
Heegner number d, (the ring of algebraic integers of \( \mathbb {Q} \left[{\sqrt {-d}}\right] \) has unique factorization)
Factors: 1, 2
Undergraduate Texts in Mathematics
Graduate Studies in Mathematics
