Euler problems/41 to 50

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Problem 41

What is the largest n-digit pandigital prime that exists?


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Problem 42

How many triangle words can you make using the list of common English words?


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Problem 43

Find the sum of all pandigital numbers with an unusual sub-string divisibility property.


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Problem 44

Find the smallest pair of pentagonal numbers whose sum and difference is pentagonal.


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Problem 45

After 40755, what is the next triangle number that is also pentagonal and hexagonal?


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Problem 46

What is the smallest odd composite that cannot be written as the sum of a prime and twice a square?


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Problem 47

Find the first four consecutive integers to have four distinct primes factors.


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Problem 48

Find the last ten digits of 11 + 22 + ... + 10001000.


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Problem 49

Find arithmetic sequences, made of prime terms, whose four digits are permutations of each other.


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Problem 50

Which prime, below one-million, can be written as the sum of the most consecutive primes?


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