Sophie Germain Primes and Cunningham Chains
A Sophie Germain prime is a prime number such that is also a prime number. That is, , where and are both prime. For example, . The sequence begins Sophie Germain () explored these primes [more…]
A Sophie Germain prime is a prime number such that is also a prime number. That is, , where and are both prime. For example, . The sequence begins Sophie Germain () explored these primes [more…]
Have you had a Good Pandemic? Well, dear Puffins, after six months of unemployment and six months before that having not much to do at work, I am soon going to start a new job [more…]
Contrary to popular belief, there seems to be some dispute as to exactly what Sir Winston Churchill was referring to when he mentioned being plagued by his infamous “Black dog”. Some say depression, some say [more…]
Euclid’s Elements, Book IX, Proposition 20. Theorem : Prime numbers are more than any assigned multitude of prime numbers. That is, there are infinitely many primes. Proof : Suppose that there are primes : Let [more…]
The potato is a native of the high Andes, a low-growing plant (Solanum tuberosum) with pretty purple flowers and round black fruits. To survive in its harsh environment it has evolved the habit of growing [more…]
Jkvenjd wktuhnb, dfuidsoe refcvdsff hbcer uyereu dfohfd iuhjcdjfsj. No, the previous sentence is not a misprint, it is a condensed and eloquent summary of government practice regarding the current SARS-CoV-2 crisis, quite possibly in Welsh. [more…]
Holograph Examples The PFG-01 holographic film that I’ve used in the examples below is ideally suited to making transmission holograms but it can also be used to make reflection holograms. Reflection Holograms One of the [more…]
Read as : the limit, as approaches infinity, of subfactorial divided by factorial is equal to divided by which approximates to , where is Euler’s number, The Hat Check Problem, as first described by Montmort [more…]
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