What is the 1087th prime number?
The 1087th prime number is 8719. The next prime is 8731 (a gap of 12) and the one before is 8713.
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 1087th one is 8719.
- 2
8719 is prime because no prime up to ā8719 ā 93.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1087th prime is close to 1087 Ć ln(1087) ā 7599, and here it is 8719.
- 4
8719 has no twin: neither 8717 nor 8721 is prime.
Primes around the 1087th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1084 | 8699 | 6 |
| 1085 | 8707 | 8 |
| 1086 | 8713 | 6 |
| 1087 | 8719 | 6 |
| 1088 | 8731 | 12 |
| 1089 | 8737 | 6 |
| 1090 | 8741 | 4 |
Questions
What is the 1087th prime number?
8719.
Which prime number is 8719?
8719 is the 1087th prime number.
What is the sum of the first 1087 primes?
4,408,202.