What is the 3162nd prime number?
The 3162nd prime number is 29077. The next prime is 29101 (a gap of 24) and the one before is 29063.
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 3162nd one is 29077.
- 2
29077 is prime because no prime up to ā29077 ā 170.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3162nd prime is close to 3162 Ć ln(3162) ā 25482, and here it is 29077.
- 4
29077 has no twin: neither 29075 nor 29079 is prime.
Primes around the 3162nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3159 | 29033 | 6 |
| 3160 | 29059 | 26 |
| 3161 | 29063 | 4 |
| 3162 | 29077 | 14 |
| 3163 | 29101 | 24 |
| 3164 | 29123 | 22 |
| 3165 | 29129 | 6 |
Questions
What is the 3162nd prime number?
29077.
Which prime number is 29077?
29077 is the 3162nd prime number.
What is the sum of the first 3162 primes?
43,225,819.