370

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Number

$370$ (three hundred and seventy) is:

$2 \times 5 \times 37$

The $9$th non-square positive integer which cannot be expressed as the sum of a square and a prime:

$10$, $34$, $58$, $85$, $91$, $130$, $214$, $226$, $370$, $\ldots$

The $11$th pluperfect digital invariant after $1$, $2$, $3$, $4$, $5$, $6$, $7$, $8$, $9$, $153$:

$3^3 + 7^3 + 0^3 = 27 + 343 + 0 = 370$

The $17$th positive integer which cannot be expressed as the sum of a square and a prime:

$1$, $10$, $25$, $34$, $58$, $64$, $85$, $91$, $121$, $130$, $169$, $196$, $214$, $226$, $289$, $324$, $370$, $\ldots$

The $40$th sphenic number after $30$, $42$, $66$, $70$, $\ldots$, $290$, $310$, $318$, $322$, $345$, $354$, $357$, $366$:

$370 = 2 \times 5 \times 37$

Also see

• Previous  ... Next: Pluperfect Digital Invariant
• Previous  ... Next: Non-Square Positive Integers not Sum of Square and Prime
• Previous  ... Next: Numbers not Sum of Square and Prime
• Previous  ... Next: Sphenic Number

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $153$
• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $370$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $153$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $370$