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 contribution | 61-Row Table as a Tool for Calculating the Prevalence of a Sequence of “Simanei Hashana” |
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Original language | Hebrew |
Pages (from-to) | 91-100 |
Journal | בדד: כתב-עת לענייני תורה ומדע |
Volume | 33 |
State | Published - 2018 |
IHP Publications
- ihp
- הלוח העברי
- Jewish calendar
- יהדות ומתמטיקה
- Mathematics -- Religious aspects -- Judaism
- סדרות חשבוניות
- Series, Arithmetic