What is the 7124th prime number?
The 7124th prime number is 71971. The next prime is 71983 (a gap of 12) and the one before is 71963.
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 7124th one is 71971.
- 2
71971 is prime because no prime up to ā71971 ā 268.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7124th prime is close to 7124 Ć ln(7124) ā 63199, and here it is 71971.
- 4
71971 has no twin: neither 71969 nor 71973 is prime.
Primes around the 7124th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7121 | 71941 | 8 |
| 7122 | 71947 | 6 |
| 7123 | 71963 | 16 |
| 7124 | 71971 | 8 |
| 7125 | 71983 | 12 |
| 7126 | 71987 | 4 |
| 7127 | 71993 | 6 |
Questions
What is the 7124th prime number?
71971.
Which prime number is 71971?
71971 is the 7124th prime number.
What is the sum of the first 7124 primes?
242,305,699.