﻿260 
  On 
  the 
  Number 
  of 
  Figures 
  in 
  Primes. 
  [Feb. 
  18, 
  

  

  being 
  still 
  quite 
  vivid. 
  I 
  now 
  found 
  that 
  1650 
  and 
  1658 
  were 
  distinctly- 
  

   seen 
  ; 
  but 
  they 
  were 
  no 
  longer 
  nearly 
  of 
  the 
  pure 
  white 
  colour 
  they 
  pre- 
  

   sented 
  at 
  the 
  higher 
  station, 
  while 
  what 
  may 
  be 
  termed 
  the 
  gloss 
  about 
  

   their 
  whiteness, 
  which 
  induced 
  me 
  to 
  describe 
  them 
  as 
  resembling 
  

   " 
  threads 
  of 
  white 
  silk 
  held 
  in 
  the 
  light," 
  had 
  quite 
  disappeared 
  ; 
  indeed 
  

   they 
  were 
  now 
  so 
  decidedly 
  greenish 
  as 
  not 
  to 
  invite 
  attention. 
  White 
  

   line 
  2068 
  I 
  now 
  could 
  hardly 
  see, 
  and 
  2009 
  was 
  invisible, 
  notwithstand- 
  

   ing 
  that 
  I 
  was 
  quite 
  familiar 
  with 
  the 
  positions 
  they 
  occupied, 
  and 
  had 
  

   made 
  careful 
  notes 
  on 
  the 
  subject. 
  

  

  After 
  this 
  I 
  released 
  the 
  prisms 
  and 
  turned 
  them 
  about 
  variously, 
  

   without 
  producing 
  any 
  alteration 
  in 
  the 
  white 
  lines 
  as 
  they 
  were 
  now 
  

   seen. 
  

  

  The 
  height 
  of 
  the 
  spectroscope 
  above 
  sea-level 
  was 
  

  

  at 
  Mussoorie. 
  7100 
  feet. 
  

  

  „ 
  Dehra 
  2200 
  „ 
  

  

  February 
  18, 
  1875. 
  

  

  JOSEPH 
  D 
  ALTON 
  HOOKER, 
  C.B., 
  President, 
  in 
  the 
  Chair. 
  

  

  The 
  Presents 
  received 
  were 
  laid 
  on 
  the 
  table, 
  and 
  thanks 
  ordered 
  for 
  

   them. 
  

  

  Pursuant 
  to 
  notice, 
  the 
  Eight 
  Hon. 
  Sir 
  Stafford 
  H. 
  Northcote, 
  Bart., 
  

   C.B., 
  Chancellor 
  of 
  the 
  Exchequer, 
  was 
  balloted 
  for 
  and 
  elected 
  a 
  Fellow 
  

   of 
  the 
  Society. 
  

  

  The 
  following 
  Papers 
  were 
  read 
  : 
  — 
  

  

  I. 
  " 
  On 
  the 
  Number 
  of 
  Figures 
  in 
  the 
  Reciprocal 
  of 
  each 
  Prime 
  

   Number 
  between 
  30,000 
  and 
  40,000/' 
  By 
  William 
  Shanks. 
  

   Communicated 
  by 
  the 
  Rev. 
  Dr. 
  Salmon, 
  F.R.S. 
  Received 
  

   January 
  5, 
  1875. 
  

  

  The 
  further 
  extension 
  of 
  my 
  previous 
  Table 
  III. 
  has 
  enabled 
  me 
  to 
  

   add 
  " 
  26 
  " 
  (see 
  " 
  Determination 
  of 
  a 
  Prime 
  Number," 
  Proc. 
  Roy. 
  Soc. 
  

   June 
  18, 
  1874) 
  to 
  the 
  list 
  of 
  complete 
  resolutions 
  ; 
  for 
  the 
  factor 
  10583 
  

   13049 
  is 
  smaller 
  than 
  40000 
  2 
  , 
  and 
  is 
  therefore 
  a 
  prime 
  number. 
  " 
  99 
  " 
  

   in 
  the 
  same 
  Table 
  may 
  now 
  have 
  the 
  large 
  factor 
  somewhat 
  reduced, 
  

   and 
  stand 
  as 
  follows, 
  since 
  34849 
  = 
  99 
  : 
  — 
  

  

  99 
  | 
  199 
  . 
  397 
  . 
  34849 
  . 
  36321 
  69409 
  21057 
  80278 
  45603 
  26475 
  

   97861 
  29249 
  67984 
  25182 
  29368 
  83. 
  

  

  