What is the 4971st prime number?
The 4971st prime number is 48311. The next prime is 48313 (a gap of 2) and the one before is 48299.
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 4971st one is 48311.
- 2
48311 is prime because no prime up to ā48311 ā 219.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4971st prime is close to 4971 Ć ln(4971) ā 42310, and here it is 48311.
- 4
48311 is a twin prime: 48311 and 48313 are both prime.
Primes around the 4971st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4968 | 48271 | 12 |
| 4969 | 48281 | 10 |
| 4970 | 48299 | 18 |
| 4971 | 48311 | 12 |
| 4972 | 48313 | 2 |
| 4973 | 48337 | 24 |
| 4974 | 48341 | 4 |
Questions
What is the 4971st prime number?
48311.
Which prime number is 48311?
48311 is the 4971st prime number.
What is the sum of the first 4971 primes?
113,049,688.