767

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Number

$767$ (seven hundred and sixty-seven) is:

$13 \times 59$

The $8$th Thabit number after $(2)$, $5$, $11$, $23$, $47$, $95$, $191$, $383$:

$767 = 3 \times 2^8 - 1$

The $7$th and last integer $n$ after $-1$, $0$, $2$, $7$, $15$, $74$ such that $\dbinom n 0 + \dbinom n 1 + \dbinom n 2 + \dbinom n 3 = m^2$ for integer $m$:

$\dbinom {767} 0 + \dbinom {767} 1 + \dbinom {767} 2 + \dbinom {767} 3 = 8672^2$

Also see

• Previous: Sum of 4 Consecutive Binomial Coefficients forming Square

• Previous  ... Next: Thabit Number

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $767$