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  2. Missing dollar riddle - Wikipedia

    en.wikipedia.org/wiki/Missing_dollar_riddle

    The misdirection in this riddle is in the second half of the description, where unrelated amounts are added together and the person to whom the riddle is posed assumes those amounts should add up to 30, and is then surprised when they do not ⁠— ⁠there is, in fact, no reason why the (10 ⁠− ⁠1) ⁠× ⁠3 ⁠ + ⁠2 ⁠ = ⁠29 sum should add up to 30.

  3. Psychological pricing - Wikipedia

    en.wikipedia.org/wiki/Psychological_pricing

    Psychological pricing (also price ending or charm pricing) is a pricing and marketing strategy based on the theory that certain prices have a psychological impact. In this pricing method, retail prices are often expressed as just-below numbers: numbers that are just a little less than a round number, e.g. $19.99 or £2.98. [ 1]

  4. Advance-fee scam - Wikipedia

    en.wikipedia.org/wiki/Advance-fee_scam

    Advance-fee scam. An advance-fee scam is a form of fraud and is one of the most common types of confidence tricks. The scam typically involves promising the victim a significant share of a large sum of money, in return for a small up-front payment, which the fraudster claims will be used to obtain the large sum. [ 1][ 2] If a victim makes the ...

  5. Fermat's theorem on sums of two squares - Wikipedia

    en.wikipedia.org/wiki/Fermat's_theorem_on_sums_of...

    In additive number theory, Fermat 's theorem on sums of two squares states that an odd prime p can be expressed as: with x and y integers, if and only if. The prime numbers for which this is true are called Pythagorean primes . For example, the primes 5, 13, 17, 29, 37 and 41 are all congruent to 1 modulo 4, and they can be expressed as sums of ...

  6. Largest known prime number - Wikipedia

    en.wikipedia.org/wiki/Largest_known_prime_number

    The largest known prime number is 2 82,589,933 − 1, a number which has 24,862,048 digits when written in base 10. It was found via a computer volunteered by Patrick Laroche of the Great Internet Mersenne Prime Search (GIMPS) in 2018. [1] A 2020 plot of the number of digits in the largest known prime by year, since the electronic computer.

  7. Abundant number - Wikipedia

    en.wikipedia.org/wiki/Abundant_number

    The smallest odd integer with abundancy index exceeding 3 is 1018976683725 = 3 3 × 5 2 × 7 2 × 11 × 13 × 17 × 19 × 23 × 29. [8] If p = (p 1, ..., p n) is a list of primes, then p is termed abundant if some integer composed only of primes in p is abundant. A necessary and sufficient condition for this is that the product of p i /(p i − ...

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