353

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Number

$353$ (three hundred and fifty-three) is:

The $71$st prime number

The $1$st positive integer such that its fourth power is the sum of $4$ other fourth powers of positive integers with no common factors:

$353^4 = 30^4 + 120^4 + 272^4 + 315^4$

The $11$th Proth prime after $3$, $5$, $13$, $17$, $41$, $97$, $113$, $193$, $241$, $257$:

$353 = 11 \times 2^5 + 1$

The $12$th palindromic prime:

$2$, $3$, $5$, $7$, $11$, $101$, $131$, $151$, $181$, $191$, $313$, $353$, $\ldots$

The $18$th near-repdigit prime after $101$, $113$, $131$, $151$, $181$, $191$, $199$, $211$, $223$, $227$, $229$, $233$, $277$, $311$, $313$, $331$, $337$

The $27$th left-truncatable prime after $2$, $3$, $5$, $7$, $\ldots$, $197$, $223$, $283$, $313$, $317$, $337$, $347$

Also see

• Previous  ... Next: Proth Prime
• Previous  ... Next: Palindromic Prime
• Previous  ... Next: Near-Repdigit Prime
• Previous  ... Next: Left-Truncatable Prime
• Previous  ... Next: Prime Number

• Next: Fourth Powers which are Sum of 4 Fourth Powers

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $353$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $353$