31579...37111 (396-digits)

This number is a prime.

                          315791 9513753935 3713759555 5337555955 1913953519
9519575175 5791151795 3171311353 7735191977 7977373317 9973177333 9719975173
9199735799 9711533991 1197397997 7771537137 3717973579 3519553135 5957399953
9771395773 3739311195 1779135151 1713553711 7337933757 3915193973 7151139717
7931573171 3793579595 5335111973 9999331371 9939759551 1751753377 9531733395
7313779755 3519911519 3333715755 5517575773 1159957751 9951355333 7335137111

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2^2703 is an 814-digit integer. If we drop all of the even digits, a 396-digit prime (31579...37111) remains. [Rivera]