What is the 1986th prime number?
The 1986th prime number is 17257. The next prime is 17291 (a gap of 34) and the one before is 17239.
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 1986th one is 17257.
- 2
17257 is prime because no prime up to ā17257 ā 131.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1986th prime is close to 1986 Ć ln(1986) ā 15081, and here it is 17257.
- 4
17257 has no twin: neither 17255 nor 17259 is prime.
Primes around the 1986th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1983 | 17209 | 2 |
| 1984 | 17231 | 22 |
| 1985 | 17239 | 8 |
| 1986 | 17257 | 18 |
| 1987 | 17291 | 34 |
| 1988 | 17293 | 2 |
| 1989 | 17299 | 6 |
Questions
What is the 1986th prime number?
17257.
Which prime number is 17257?
17257 is the 1986th prime number.
What is the sum of the first 1986 primes?
16,031,859.