What is the 2971st prime number?
The 2971st prime number is 27091. The next prime is 27103 (a gap of 12) and the one before is 27077.
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 2971st one is 27091.
- 2
27091 is prime because no prime up to ā27091 ā 164.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2971st prime is close to 2971 Ć ln(2971) ā 23758, and here it is 27091.
- 4
27091 has no twin: neither 27089 nor 27093 is prime.
Primes around the 2971st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2968 | 27067 | 6 |
| 2969 | 27073 | 6 |
| 2970 | 27077 | 4 |
| 2971 | 27091 | 14 |
| 2972 | 27103 | 12 |
| 2973 | 27107 | 4 |
| 2974 | 27109 | 2 |
Questions
What is the 2971st prime number?
27091.
Which prime number is 27091?
27091 is the 2971st prime number.
What is the sum of the first 2971 primes?
37,854,090.