What is the 7187th prime number?
The 7187th prime number is 72673. The next prime is 72679 (a gap of 6) and the one before is 72671.
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 7187th one is 72673.
- 2
72673 is prime because no prime up to ā72673 ā 269.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7187th prime is close to 7187 Ć ln(7187) ā 63821, and here it is 72673.
- 4
72673 is a twin prime: 72671 and 72673 are both prime.
Primes around the 7187th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7184 | 72649 | 2 |
| 7185 | 72661 | 12 |
| 7186 | 72671 | 10 |
| 7187 | 72673 | 2 |
| 7188 | 72679 | 6 |
| 7189 | 72689 | 10 |
| 7190 | 72701 | 12 |
Questions
What is the 7187th prime number?
72673.
Which prime number is 72673?
72673 is the 7187th prime number.
What is the sum of the first 7187 primes?
246,861,592.