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In 1991 a list of large semiprimes were generated on a computer whose hard drive was destroyed to remove any record of the prime factors. In 2020 the 250-digit semiprime (RSA-250) became the largest encryption key ever factored, using 2700 CPU-years: bit.ly/3xwHrwX

Ask ChatGPT to pick a number between 1 and 100 - which does it pick? (by @Leniolabs_)

For the 104th day, the 13th day of the 4th month of the 2024th year: 104 = (13 − 4 × √(2 + 0 − 2 + 4)) × (13 − 4 × √(2 + 0 − 2 + 4)) × (13 − 4 × √(2 + 0 − 2 + 4)) − 13 − 4 × √(2 + 0 − 2 + 4)

On this day, 4 May, Alice fell into (a mathematical) Wonderland, where 4 × 5 = 12 (base 18) 4 × 6 = 13 (base 21) 4 × 7 = 14 (base 24)… 4 × 11 = 18 (base 36) 4 × 12 = 19 (base 39)… but she’d never get to 20 because that’s where the pattern stops... 4 × 13 (base 42) ≠ 20

A semiprime is a number that is the product of two primes. An emirp is a prime whose reversal is a different prime. An emirpimes is a semiprime whose reversal is a different semiprime. 1469 is the first emirpimes that is the product of two emirps.

28th day, 6th month: #PerfectDay A number is ‘perfect’ if it equals the sum of its proper factors, like 28 (1+2+4+7+14 = 28) and 6 (1+2+3).

It’s time

Maths activities and adventures for each day of the summer holidays, encouraging exploration, curiosity and wonder. From games of Hex, Sprouts and Misère Os and Xs, to Lewis Caroll's Number-Guessing game, Fibonacci on the beach, and much more: bit.ly/30LFmaT

Declining progress, depreciating attainment, disproportionately high and rising absence and exclusion, undervalued in the standards agenda, increasing in number… All evidence points one way. Transforming the lot of our disadvantaged pupils is a systemic urgency.

Pass a super golden moment today, 5 August between 12 and 13 seconds past 1:20pm — the ratio of the amount of seconds passed in the year to the amount of seconds still to come is the Supergolden Ratio ψ 1.465571231… the only real solution to 𝑥³ = 𝑥² + 1

The largest prime found by hand, in 1876 by Édouard Lucas, has 39 digits bit.ly/2OZXB6l The first largest prime found by computer, in 1951, has 79 digits go.nature.com/2OXFMqE The largest known prime, found today in 2024, has 41,024,320 digits bit.ly/48f6bYI

Teachers: Wish your students and their families a mathemagical xMaths with an xMaths card full of problems and curios. Two cards in various formats free to download and customise • bit.ly/3Peu4pN

Curated links to ≈ 400 mathsy radio and podcast programmes for you to peruse and enjoy this Christmas. Including from Steven Strogatz Hannah Fry Alex Bellos Simon Singh David Spiegelhalter and many more: bit.ly/2w1rHOT

Happy 2025 — the first year to be a square (whose digits sum to a square) that is equal to the sum of the first [sum of its digits] consecutive cubes and to the square of (and the product of the proper divisors of) the sum of a split of its digits. #HappyNewYear

Writing 1 once, 2 twice, 3 three times, and so on, up to 45 forty-five times [or (20+25) (20+25) times], produces a string of 2025 or 45² [or (20+25)²] digits — the only number where this happens. #HappyNewYear2025 • bit.ly/40ct4JR

Math up your countdown to 2025… = (10×9×8×7÷6÷5×4+3)×(2+1) = (10+(9+8×7)×6)×5+4×3×2+1 = (10+(9×(8−(7−6×5))))×(4×3)+2-1+0! = 10×(9+8×7−6+5!+4!)−3×2+1 = 10×9×(8+7+6)+5!+4×3+2+1 = (10+9)×(8+7+6)×5+4!+3+2+1 #HappyNewYear #HappyNewYear2025

Here’s hoping to 2025 having a better chance of being a good year than in 3025 years time, when it will be 5050. #HappyNewYear

By the end of today, exactly 1×2×3×4×5×6×5×4×3×2×1 seconds will have passed this year. = 1 day = 24 hours = 24×60 minutes = 24×60×60 seconds = (2×3×4)×(5×6×2)×(5×4×3) seconds = 1×2×3×4×5×6×5×4×3×2×1 seconds #HappyNewYear #HappyNewYear2025