לוח ס"א ראשים ככלי לחישוב שכיחות סדרות של סימני שנים

Translated title of the contribution: 61-Row Table as a Tool for Calculating the Prevalence of a Sequence of “Simanei Hashana”

ערן רביב

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Abstract

The year 5775 begins a sequence of five consecutive years in which four of them have Passover occurring on Saturday. This article examines the phenomenon and presents a computational method for finding its prevalence. The calculation method is based on considering the “Table of 61 Rows” as a table that represents 36,288 19-year cycles, consisting of 689,472 years, which form a complete cycle of the Jewish calendar. As a result, the “region” that the desired phenomenon occupies in relation to the overall area of the table directly yields the frequency of the desired sequence. In the Appendix we present a proof that the area of the 61-Row Table is in complete correspondence to the cycle of new moons in the Jewish calendar – 689,472 years. The method demonstrated in the article can be generalized to any desired sequence of simanei hashana.
Translated title of the contribution61-Row Table as a Tool for Calculating the Prevalence of a Sequence of “Simanei Hashana”
Original languageHebrew
Pages (from-to)91-100
Journalבדד: כתב-עת לענייני תורה ומדע
Volume33
StatePublished - 2018

IHP Publications

  • ihp
  • הלוח העברי
  • Jewish calendar
  • יהדות ומתמטיקה
  • Mathematics -- Religious aspects -- Judaism
  • סדרות חשבוניות
  • Series, Arithmetic

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