PREDICTING MAXIMAL GAPS IN SETS OF PRIMES

Predicting Maximal Gaps in Sets of Primes

Let q > r ≥ 1 be coprime integers.Let P c = P c ( q , r , ZIPPO H ) be an increasing sequence of primes p satisfying two conditions: (i) p ≡ r (mod q) and (ii) p starts a prime k-tuple with a given pattern H.Let π c ( x ) be the number of primes in P c not exceeding x.We heuristically derive formulas predicting the growth trend

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Sensitive detection of pre-existing BCR-ABL kinase domain mutations in CD34+ cells of newly diagnosed chronic-phase chronic myeloid leukemia patients is associated with imatinib resistance: implications in the post-imatinib era.

BACKGROUND: BCR-ABL kinase domain mutations are infrequently detected in newly diagnosed chronic-phase chronic myeloid leukemia (CML) patients.Recent studies indicate the presence of pre-existing BCR-ABL mutations in a higher percentage of CML patients when CD34+ stem/progenitor cells are investigated using sensitive techniques, and these mutations

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