What is the 7139th prime number?
The 7139th prime number is 72103. The next prime is 72109 (a gap of 6) and the one before is 72101.
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 7139th one is 72103.
- 2
72103 is prime because no prime up to ā72103 ā 268.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7139th prime is close to 7139 Ć ln(7139) ā 63347, and here it is 72103.
- 4
72103 is a twin prime: 72101 and 72103 are both prime.
Primes around the 7139th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7136 | 72089 | 12 |
| 7137 | 72091 | 2 |
| 7138 | 72101 | 10 |
| 7139 | 72103 | 2 |
| 7140 | 72109 | 6 |
| 7141 | 72139 | 30 |
| 7142 | 72161 | 22 |
Questions
What is the 7139th prime number?
72103.
Which prime number is 72103?
72103 is the 7139th prime number.
What is the sum of the first 7139 primes?
243,386,388.