1901.] MINUTES. 159 



§ 6. It is noteworthy that the only completely cyclic number is 

 142857. 



For 142857 X2 = 285714 

 X 3 = 428571 

 X4 —571428 

 X5 =714285 

 X 6 = 857142 

 X lm — m (10 6 — 1). 

 Hence, to multiply 142857 by any number, 1m + n (where 

 n = 1 or 2 or 3 or 4 or 5 or 6), we have only to divide the multi- 

 plier by 7, thus finding m and n, prefix m to 142857 X n and then 

 subtract m. 



Thus to find (142857) 2 



7) 142857 



20408 — 1 

 20408122449 == (142857) 2 . 

 Also, 2915446064142857 —2915446064 = 

 2915443148696793 = (142857) 3 



Stated Meeting, October 18, 1901. 

 Vice-President Wistar in the Chair. 



Present, 9 members. 



Mr. Thomas Willing Balch. a newly elected member, was 

 presented to the Chair, and took his seat in the Society. 



The list of donations to the Library was laid on the table 

 and thanks were ordered to be returned for them. 



With reference to one of the donations, Dr. Hays called 

 attention to a statement contained in Mr. William Eleroy 

 Curtis's True Thomas Jefferson, just published, that this Soci- 

 ety possessed Jefferson's " original draft " of the Declaration 

 of Independence, with all the corrections. He thought it 

 important that this statement should not remain uncorrected, 

 as it might lead to considerable disappointment. The copy 



