What is the 7121st prime number?
The 7121st prime number is 71941. The next prime is 71947 (a gap of 6) and the one before is 71933.
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 7121st one is 71941.
- 2
71941 is prime because no prime up to ā71941 ā 268.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7121st prime is close to 7121 Ć ln(7121) ā 63169, and here it is 71941.
- 4
71941 has no twin: neither 71939 nor 71943 is prime.
Primes around the 7121st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7118 | 71909 | 10 |
| 7119 | 71917 | 8 |
| 7120 | 71933 | 16 |
| 7121 | 71941 | 8 |
| 7122 | 71947 | 6 |
| 7123 | 71963 | 16 |
| 7124 | 71971 | 8 |
Questions
What is the 7121st prime number?
71941.
Which prime number is 71941?
71941 is the 7121st prime number.
What is the sum of the first 7121 primes?
242,089,818.