What is the 3142nd prime number?
The 3142nd prime number is 28859. The next prime is 28867 (a gap of 8) and the one before is 28843.
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 3142nd one is 28859.
- 2
28859 is prime because no prime up to ā28859 ā 169.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3142nd prime is close to 3142 Ć ln(3142) ā 25301, and here it is 28859.
- 4
28859 has no twin: neither 28857 nor 28861 is prime.
Primes around the 3142nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3139 | 28817 | 4 |
| 3140 | 28837 | 20 |
| 3141 | 28843 | 6 |
| 3142 | 28859 | 16 |
| 3143 | 28867 | 8 |
| 3144 | 28871 | 4 |
| 3145 | 28879 | 8 |
Questions
What is the 3142nd prime number?
28859.
Which prime number is 28859?
28859 is the 3142nd prime number.
What is the sum of the first 3142 primes?
42,646,393.