First U.S. Patent Number

In this project we are going to compute the rate of growth in the number of patents issued in the United States. The table below gives the first United States patent number by year. Find the rate of growth in the first United States patent number from 1859 to 1871. Using this rate, predict the first patent number that was issued in 1997. Using this rate, find in what year the patent number 1,000,000 was issued.

Now find the rate of growth in the first United States patent number from 1946 to 1956 and using this rate, predict the first patent number that was issued in 1997. Using this rate, find in what year the patent number 1,000,000 was issued.

In your opinion, which rate provides the best estimate of the first United States patent number that was issued in 1997? Which rate provides the best estimate of the year in which the patent number 1,000,000 was issued? Provide reasons that might account for differences in these calculations.

Year

1st United States patent number

1856

14,009

1857

16,324

1858

19,010

1859

22,477

1860

26,642

1861

31,005

1866

51,784

1871

110,617

1876

171,641

1886

333,494

1896

552,502

1906

808,618

1916

116,6419

1926

1,568,040

1936

2,026,516

1946

2,391,856

1956

2,728,913

1966

3,226,729

1976

3,930,271

1986

4,562,596

First U.S. patent number in each calendar year