What is the 2969th prime number?
The 2969th prime number is 27073. The next prime is 27077 (a gap of 4) and the one before is 27067.
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 2969th one is 27073.
- 2
27073 is prime because no prime up to ā27073 ā 164.54 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2969th prime is close to 2969 Ć ln(2969) ā 23740, and here it is 27073.
- 4
27073 has no twin: neither 27071 nor 27075 is prime.
Primes around the 2969th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2966 | 27059 | 16 |
| 2967 | 27061 | 2 |
| 2968 | 27067 | 6 |
| 2969 | 27073 | 6 |
| 2970 | 27077 | 4 |
| 2971 | 27091 | 14 |
| 2972 | 27103 | 12 |
Questions
What is the 2969th prime number?
27073.
Which prime number is 27073?
27073 is the 2969th prime number.
What is the sum of the first 2969 primes?
37,799,922.