What is the 1987th prime number?
The 1987th prime number is 17291. The next prime is 17293 (a gap of 2) and the one before is 17257.
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 1987th one is 17291.
- 2
17291 is prime because no prime up to ā17291 ā 131.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1987th prime is close to 1987 Ć ln(1987) ā 15090, and here it is 17291.
- 4
17291 is a twin prime: 17291 and 17293 are both prime.
Primes around the 1987th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1984 | 17231 | 22 |
| 1985 | 17239 | 8 |
| 1986 | 17257 | 18 |
| 1987 | 17291 | 34 |
| 1988 | 17293 | 2 |
| 1989 | 17299 | 6 |
| 1990 | 17317 | 18 |
Questions
What is the 1987th prime number?
17291.
Which prime number is 17291?
17291 is the 1987th prime number.
What is the sum of the first 1987 primes?
16,049,150.