What is the 1988th prime number?
The 1988th prime number is 17293. The next prime is 17299 (a gap of 6) and the one before is 17291.
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 1988th one is 17293.
- 2
17293 is prime because no prime up to ā17293 ā 131.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1988th prime is close to 1988 Ć ln(1988) ā 15099, and here it is 17293.
- 4
17293 is a twin prime: 17291 and 17293 are both prime.
Primes around the 1988th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1985 | 17239 | 8 |
| 1986 | 17257 | 18 |
| 1987 | 17291 | 34 |
| 1988 | 17293 | 2 |
| 1989 | 17299 | 6 |
| 1990 | 17317 | 18 |
| 1991 | 17321 | 4 |
Questions
What is the 1988th prime number?
17293.
Which prime number is 17293?
17293 is the 1988th prime number.
What is the sum of the first 1988 primes?
16,066,443.