233
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Number
$233$ (two hundred and thirty-three) is:
- The $51$st prime number
- The $2$nd element of the smallest triple of consecutive positive integers each of which is the sum of two squares:
- $232 = 14^2 + 6^2$, $233 = 13^2 + 8^2$, $234 = 15^2 + 3^2$
- The $6$th Fibonacci prime after $2$, $3$, $5$, $13$, $89$
- The $12$th near-repdigit prime after $101$, $113$, $131$, $151$, $181$, $191$, $199$, $211$, $223$, $227$, $229$
- The $13$th Fibonacci number, after $1$, $1$, $2$, $3$, $5$, $8$, $13$, $21$, $34$, $55$, $89$, $144$:
- $233 = 89 + 144$
- The $14$th right-truncatable prime after $2$, $3$, $5$, $7$, $23$, $29$, $31$, $37$, $53$, $59$, $71$, $73$, $79$
- The $16$th Sophie Germain prime after $2$, $3$, $5$, $11$, $23$, $29$, $41$, $53$, $83$, $89$, $113$, $131$, $173$, $179$, $191$:
- $2 \times 233 + 1 = 467$, which is prime.
- The $20$th long period prime after $7$, $17$, $19$, $23$, $29$, $47$, $59$, $61$, $97$, $109$, $113$, $131$, $149$, $167$, $179$, $181$, $193$, $223$, $229$
Also see
- Previous ... Next: Fibonacci Prime
- Previous ... Next: Fibonacci Number
- Previous ... Next: Prime Number
- Previous ... Next: Long Period Prime
- Previous ... Next: Near-Repdigit Prime
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $232$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $232$