What is the 4974th prime number?
The 4974th prime number is 48341. The next prime is 48353 (a gap of 12) and the one before is 48337.
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 4974th one is 48341.
- 2
48341 is prime because no prime up to ā48341 ā 219.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4974th prime is close to 4974 Ć ln(4974) ā 42339, and here it is 48341.
- 4
48341 has no twin: neither 48339 nor 48343 is prime.
Primes around the 4974th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4971 | 48311 | 12 |
| 4972 | 48313 | 2 |
| 4973 | 48337 | 24 |
| 4974 | 48341 | 4 |
| 4975 | 48353 | 12 |
| 4976 | 48371 | 18 |
| 4977 | 48383 | 12 |
Questions
What is the 4974th prime number?
48341.
Which prime number is 48341?
48341 is the 4974th prime number.
What is the sum of the first 4974 primes?
113,194,679.