Prime Curios!: 1933

1933
(another Prime Pages' Curiosity)

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In January 1933 Adolf Hitler was appointed chancellor of Germany and before August of the same year Germany was declared a one-party state.

The smallest prime (emirp) whose the sum and the product of digits are equal to the same powers of consecutive primes (16=2^4, 81=3^4). Note that the sum plus the product of these digits is equal to the largest double-digit prime (emirp). [Loungrides]

The only year of the 20th century to divide a repunit prime with no more than 21 digits: 111111111111111111111 = 3 * 37 * 43 * 239 * 1933 * 4649 * 10838689. It therefore divides the repunit prime with 2*21 = 42 digits. [Post]

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