What is the 4973rd prime number?
The 4973rd prime number is 48337. The next prime is 48341 (a gap of 4) and the one before is 48313.
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 4973rd one is 48337.
- 2
48337 is prime because no prime up to ā48337 ā 219.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4973rd prime is close to 4973 Ć ln(4973) ā 42329, and here it is 48337.
- 4
48337 has no twin: neither 48335 nor 48339 is prime.
Primes around the 4973rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4970 | 48299 | 18 |
| 4971 | 48311 | 12 |
| 4972 | 48313 | 2 |
| 4973 | 48337 | 24 |
| 4974 | 48341 | 4 |
| 4975 | 48353 | 12 |
| 4976 | 48371 | 18 |
Questions
What is the 4973rd prime number?
48337.
Which prime number is 48337?
48337 is the 4973rd prime number.
What is the sum of the first 4973 primes?
113,146,338.