What is the 7383rd prime number?
The 7383rd prime number is 74869. The next prime is 74873 (a gap of 4) and the one before is 74861.
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 7383rd one is 74869.
- 2
74869 is prime because no prime up to ā74869 ā 273.62 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7383rd prime is close to 7383 Ć ln(7383) ā 65760, and here it is 74869.
- 4
74869 has no twin: neither 74867 nor 74871 is prime.
Primes around the 7383rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7380 | 74843 | 12 |
| 7381 | 74857 | 14 |
| 7382 | 74861 | 4 |
| 7383 | 74869 | 8 |
| 7384 | 74873 | 4 |
| 7385 | 74887 | 14 |
| 7386 | 74891 | 4 |
Questions
What is the 7383rd prime number?
74869.
Which prime number is 74869?
74869 is the 7383rd prime number.
What is the sum of the first 7383 primes?
261,324,966.