What is the 2970th prime number?
The 2970th prime number is 27077. The next prime is 27091 (a gap of 14) and the one before is 27073.
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 2970th one is 27077.
- 2
27077 is prime because no prime up to ā27077 ā 164.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2970th prime is close to 2970 Ć ln(2970) ā 23749, and here it is 27077.
- 4
27077 has no twin: neither 27075 nor 27079 is prime.
Primes around the 2970th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2967 | 27061 | 2 |
| 2968 | 27067 | 6 |
| 2969 | 27073 | 6 |
| 2970 | 27077 | 4 |
| 2971 | 27091 | 14 |
| 2972 | 27103 | 12 |
| 2973 | 27107 | 4 |
Questions
What is the 2970th prime number?
27077.
Which prime number is 27077?
27077 is the 2970th prime number.
What is the sum of the first 2970 primes?
37,826,999.