What is the 1984th prime number?
The 1984th prime number is 17231. The next prime is 17239 (a gap of 8) and the one before is 17209.
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 1984th one is 17231.
- 2
17231 is prime because no prime up to ā17231 ā 131.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1984th prime is close to 1984 Ć ln(1984) ā 15064, and here it is 17231.
- 4
17231 has no twin: neither 17229 nor 17233 is prime.
Primes around the 1984th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1981 | 17203 | 12 |
| 1982 | 17207 | 4 |
| 1983 | 17209 | 2 |
| 1984 | 17231 | 22 |
| 1985 | 17239 | 8 |
| 1986 | 17257 | 18 |
| 1987 | 17291 | 34 |
Questions
What is the 1984th prime number?
17231.
Which prime number is 17231?
17231 is the 1984th prime number.
What is the sum of the first 1984 primes?
15,997,363.