Find the 6-digit number with no zeros where:

• No digit appears more than once.
• The sum of the last four digits equals twice the sum of the first two.
• The first two digits form a prime number when concatenated.
• Digits 2 and 3 also form a prime.
• Digits 3 and 4 also form a prime.
• Digits 4 and 5 also form a prime.
• Digit 5 itself is also a prime.
• All six digits add up to 33.

The last two digits need not form a prime.

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From Mensa Puzzle Calendar 2018 by Fraser Simpson, Workman Publishing, New York. Puzzle for October 9.

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