What is the 6142nd prime number?
The 6142nd prime number is 60937. The next prime is 60943 (a gap of 6) and the one before is 60923.
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 6142nd one is 60937.
- 2
60937 is prime because no prime up to ā60937 ā 246.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6142nd prime is close to 6142 Ć ln(6142) ā 53576, and here it is 60937.
- 4
60937 has no twin: neither 60935 nor 60939 is prime.
Primes around the 6142nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6139 | 60917 | 4 |
| 6140 | 60919 | 2 |
| 6141 | 60923 | 4 |
| 6142 | 60937 | 14 |
| 6143 | 60943 | 6 |
| 6144 | 60953 | 10 |
| 6145 | 60961 | 8 |
Questions
What is the 6142nd prime number?
60937.
Which prime number is 60937?
60937 is the 6142nd prime number.
What is the sum of the first 6142 primes?
176,989,639.