What is the 2973rd prime number?
The 2973rd prime number is 27107. The next prime is 27109 (a gap of 2) and the one before is 27103.
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 2973rd one is 27107.
- 2
27107 is prime because no prime up to ā27107 ā 164.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2973rd prime is close to 2973 Ć ln(2973) ā 23776, and here it is 27107.
- 4
27107 is a twin prime: 27107 and 27109 are both prime.
Primes around the 2973rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2970 | 27077 | 4 |
| 2971 | 27091 | 14 |
| 2972 | 27103 | 12 |
| 2973 | 27107 | 4 |
| 2974 | 27109 | 2 |
| 2975 | 27127 | 18 |
| 2976 | 27143 | 16 |
Questions
What is the 2973rd prime number?
27107.
Which prime number is 27107?
27107 is the 2973rd prime number.
What is the sum of the first 2973 primes?
37,908,300.