What is the 1985th prime number?
The 1985th prime number is 17239. The next prime is 17257 (a gap of 18) and the one before is 17231.
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 1985th one is 17239.
- 2
17239 is prime because no prime up to ā17239 ā 131.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1985th prime is close to 1985 Ć ln(1985) ā 15073, and here it is 17239.
- 4
17239 has no twin: neither 17237 nor 17241 is prime.
Primes around the 1985th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1982 | 17207 | 4 |
| 1983 | 17209 | 2 |
| 1984 | 17231 | 22 |
| 1985 | 17239 | 8 |
| 1986 | 17257 | 18 |
| 1987 | 17291 | 34 |
| 1988 | 17293 | 2 |
Questions
What is the 1985th prime number?
17239.
Which prime number is 17239?
17239 is the 1985th prime number.
What is the sum of the first 1985 primes?
16,014,602.