What is the 7126th prime number?
The 7126th prime number is 71987. The next prime is 71993 (a gap of 6) and the one before is 71983.
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 7126th one is 71987.
- 2
71987 is prime because no prime up to ā71987 ā 268.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7126th prime is close to 7126 Ć ln(7126) ā 63218, and here it is 71987.
- 4
71987 has no twin: neither 71985 nor 71989 is prime.
Primes around the 7126th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7123 | 71963 | 16 |
| 7124 | 71971 | 8 |
| 7125 | 71983 | 12 |
| 7126 | 71987 | 4 |
| 7127 | 71993 | 6 |
| 7128 | 71999 | 6 |
| 7129 | 72019 | 20 |
Questions
What is the 7126th prime number?
71987.
Which prime number is 71987?
71987 is the 7126th prime number.
What is the sum of the first 7126 primes?
242,449,669.