2701

Number
$2701$ (two thousand, seven hundred and one) is:


 * $37 \times 73$


 * The $37$th hexagonal number after $1$, $6$, $15$, $28$, $45$, $66$, $91$, $\ldots$, $1431$, $1540$, $1653$, $1770$, $1891$, $2016$, $2145$, $2278$, $2415$, $2556$:
 * $2701 = \displaystyle \sum_{k \mathop = 1}^{37} \left({4 k - 3}\right) = 37 \left({2 \times 37 - 1}\right)$


 * The $10$th Poulet number after $341, 561, 645, 1105, 1387, 1729, 1905, 2047, 2465$:
 * $2^{2701} \equiv 2 \pmod {2701}$: $2701 = 37 \times 73$


 * The $13$th Fermat pseudoprime to base $3$ after $91$, $121$, $286$, $671$, $703$, $949$, $1105$, $1541$, $1729$, $1891$, $2465$, $2665$:
 * $3^{2701} \equiv 3 \pmod {2701}$