What is the 1972nd prime number?
The 1972nd prime number is 17107. The next prime is 17117 (a gap of 10) and the one before is 17099.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1972nd one is 17107.
- 2
17107 is prime because no prime up to ā17107 ā 130.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1972nd prime is close to 1972 Ć ln(1972) ā 14961, and here it is 17107.
- 4
17107 has no twin: neither 17105 nor 17109 is prime.
Primes around the 1972nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1969 | 17077 | 24 |
| 1970 | 17093 | 16 |
| 1971 | 17099 | 6 |
| 1972 | 17107 | 8 |
| 1973 | 17117 | 10 |
| 1974 | 17123 | 6 |
| 1975 | 17137 | 14 |
Questions
What is the 1972nd prime number?
17107.
Which prime number is 17107?
17107 is the 1972nd prime number.
What is the sum of the first 1972 primes?
15,791,247.