Tag Archives: Language
Ancient Afrrican Medu Neter
English Vocab Builder
Ancestors=jer-tee-oo, Mother=Moot, Daughter=Saht, Sister=Senet, Wife=Hemet, Father=Yi-tef, Son=Sah, Brother=Sen, Husband=Hee.
1=wa, 2=sen, 3=shomt, 4=fe-doo, 5=dee-oo, 6=see-soo, 7=se-fek, 8=sheme, 9=pe-sej, 10=mej.
Re (Ray) or Aten=Sun, Moon=Iah (pronounced yah, sometimes ee-ah), Neter=God, Neteret=Goddess.
Bad=bin, good=ne fer, light=she-sep, dark=keke. Never=en sep. Yes=tee-oo, no=nen, help=sem, old=yah, new=mah-oot, Alter=sah-oot. Temple=er-per, library= per me-jat, house=per, lady=nebet, Land=ta, lord=neb, midwife=tee-jem set, Nysut=leader or royal one, Sky=pet, doctor=sewnu, house of life=per ankh. Continue reading
An arithmetic progression of primes is a set of primes of the form for fixed and and consecutive , i.e., . For example, 199, 409, 619, 829, 1039, 1249, 1459, 1669, 1879, 2089 is a 10-term arithmetic progression of primes with difference 210.
It had long been conjectured that there exist arbitrarily long sequences of primes in arithmetic progression (Guy 1994). As early as 1770, Lagrange and Waring investigated how large the common difference of an arithmetic progression of primes must be. In 1923, Hardy and Littlewood (1923) made a very general conjecture known as the k-tuple conjecture about the distribution of prime constellations, which includes the hypothesis that there exist infinitely long prime arithmetic progressions as a special case. Important additional theoretical progress was subsequently made by van der Corput (1939), who proved than there are infinitely many triples of primes in arithmetic progression, and Heath-Brown (1981), who proved that there are infinitely many four-term progressions consisting of three primes and a number that is either a prime or semiprime. Continue reading
Top 20 Arithmetic Progression of Primes
by Chris Caldwell
The Prime Pages keeps a list of the 5000 largest known primes, plus a few each of certain selected archivable forms and classes. These forms are defined in this collection’s home page. This page is about one of those forms.
Definitions and Notes
Are there infinitely many primes in most arithmetic progressions? Certainly not if the common difference has a prime factor in common with one of the terms (for example: 6, 9, 12, 15, …). In 1837, Dirichlet proved that in all other cases the answer was yes:
- Dirichlet’s Theorem on Primes in Arithmetic Progressions
- If a and b are relatively prime positive integers, then the arithmetic progression a, a+b, a+2b, a+3b, … contains infinitely many primes.
I. THE TEACHER AND THE TEXTS
‘The Teacher of Righteousness’ is the name given in a number of the lately discovered Qumran documents to a man who was held in high veneration by the religious community on whose beliefs and practices these documents have thrown so much light. If he was not actually the founder of the community, it was certainly he who impressed upon it those features which distinguished it from other pious groups which flourished among the Jews during the last two or three centuries of the Second Commonwealth. So far as we can gather from our present sources of information, he is never referred to by his personal name in the Qumran texts.1
The title bestowed on him by his followers, ‘The Teacher of Righteousness’ (Heb. moreh sedeq or moreh hassedeq), may echo Hosea x. 12, where the prophet calls to his people: ‘break up your fallow ground: for it is time to seek the LORD, till he come and rain righteousness (Heb. yoreh sedeq) upon you.’ The RV margin gives ‘teach you righteousness’ as an alternative translation to ‘rain righteousness Continue reading