41,041

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Number

$41 \, 041$ (forty-one thousand and forty-one) is:

$7 \times 11 \times 13 \times 41$

The $1$st Carmichael number with $4$ prime factors:

$41 \, 041 = 7 \times 11 \times 13 \times 41$

The $11$th Carmichael number after $561$, $1105$, $1729$, $2465$, $2821$, $6601$, $8911$, $10 \, 585$, $15 \, 841$, $29 \, 341$:

$\forall a \in \Z: a \perp 41 \, 041: a^{41 \, 040} \equiv 1 \pmod {41 \, 041}$

The $286$th triangular number:

$41 \, 041 = \ds \sum_{k \mathop = 1}^{286} k = \dfrac {286 \times \paren {286 + 1} } 2$

Also see

• Carmichael Number with 4 Prime Factors

• Previous  ... Next: Carmichael Number
• Previous  ... Next: Triangular Number

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $41,041$