What is the 4970th prime number?
The 4970th prime number is 48299. The next prime is 48311 (a gap of 12) and the one before is 48281.
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 4970th one is 48299.
- 2
48299 is prime because no prime up to ā48299 ā 219.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4970th prime is close to 4970 Ć ln(4970) ā 42301, and here it is 48299.
- 4
48299 has no twin: neither 48297 nor 48301 is prime.
Primes around the 4970th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4967 | 48259 | 12 |
| 4968 | 48271 | 12 |
| 4969 | 48281 | 10 |
| 4970 | 48299 | 18 |
| 4971 | 48311 | 12 |
| 4972 | 48313 | 2 |
| 4973 | 48337 | 24 |
Questions
What is the 4970th prime number?
48299.
Which prime number is 48299?
48299 is the 4970th prime number.
What is the sum of the first 4970 primes?
113,001,377.