What is the 4972nd prime number?
The 4972nd prime number is 48313. The next prime is 48337 (a gap of 24) and the one before is 48311.
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 4972nd one is 48313.
- 2
48313 is prime because no prime up to ā48313 ā 219.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4972nd prime is close to 4972 Ć ln(4972) ā 42320, and here it is 48313.
- 4
48313 is a twin prime: 48311 and 48313 are both prime.
Primes around the 4972nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4969 | 48281 | 10 |
| 4970 | 48299 | 18 |
| 4971 | 48311 | 12 |
| 4972 | 48313 | 2 |
| 4973 | 48337 | 24 |
| 4974 | 48341 | 4 |
| 4975 | 48353 | 12 |
Questions
What is the 4972nd prime number?
48313.
Which prime number is 48313?
48313 is the 4972nd prime number.
What is the sum of the first 4972 primes?
113,098,001.