Problems & Puzzles:
Conjectures
1.- Goldbach's Conjecture
2.- Chen's Conjecture
3.- Twin Prime's Conjecture
4.- Fermat primes are finite
5.- Are there infinitely many primes of the
form n2+1?
6.- Quantity of primes in a given
range: Opperman, Brocard & Schinzel conjectures?
7.- The Cramer's Conjecture
8.- Andricas Conjecture
9.- Shank's Conjecture
10.- Champions and Primorial Numbers
11.- Is there any odd Perfect Number ?
12.- Selfridge challenge
13.- Sierpinski numbers
14.- Enoch
Haga Observation about Palprimes
15.- The New Mersenne
Conjecture
16.-
n^n+1
17.-
The Ludovicus conjecture about Euler trinomials
18.-
Minimal primorial partitions (a conjecture by John Harvester)
19.
A bound to the
largest prime factor of certain Carmichael numbers
20. The first N natural numbers
listed in an order such that the sum of each two
adjacent of them is a prime number, and the Rivera's Algorithm
21. Rivera's
Conjectures about the representation of every natural number as an algebraic
sum of distinct consecutive prime numbers.
22. A
stronger version of the Goldbach Conjecture
23. The
Shyam's conjecture about the Rare Numbers
24. Paul
Underwood's conjecture
25. sopf(n)
= sopf(n+k)
26. The
Calendar-like square Conjecture
27. A
Charles Ashbacher Conjecture
28. Frank
Buss's Conjecture
29. The
Frank
Buss's B(n) function
30. The
Firoozbakht Conjecture
31. The Fermat-Catalan &
Beal's Conjectures
32. The ABC Conjecture
33.
The Goldbach Temptation
34. n
& n2,
Triangular Numbers
35.
The Firoozbakht functions
36.
The Sinisalo-Ludovicus Conjecture
37.
The Tutescu's Conjecture
38.
Adrian Stoica’s Conjecture
39.
Ingala's Conjecture
40.
Karama's Conjecture
41.
Pe's Conjecture
42.
Severini's conjecture
43.
Three consecutive primes
44.
A property of prime twins, only?
45.
Even numbers as sum of 4 twin primes.
46.
P-Q=R-S
47.
P=2P1 + 3P2
48.
P=A+/-B
49.
n = pq + rs
50.
n = pq - rs
51 : Two
approximate relationships about prime numbers
52 : SMR
Conjecture about consecutive primes
53. Floor
function & consecutive primes
54. Reversible
primes conjeture
55. n
= m^2 + p + d
56. One
more SMR conjecture.
57. |P(i-1)-2P(i)+P(i+1)|
58. Primes
m^2+1
59. n!+p(n)=m^k
60.
Generalization of Legendre's Conjecture
61. THE MEAN
MAXIMUM GAP BETWEEN PRIMES
62. Generalization
of Bertrand's Postulate
63. Consecutive
primes sum to a perfect power.
64. NUMBER
OF PRIME TWINS
65. Non-Euclidean
primes
66. Gaps
between consecutive twin pairs
67. primes & e
68. Based on an
Euler's Conjecture
69. A Conjecture
& proposed Axiom
70. n & n+1 primitive
roots
71. Twin
primes and π.
72. Counting
twin primes.
73. Counting primes
by the last significant digit.
74. What is
true assuming valid this...
75. Sebastian's
formula for a special case of the Carmichael function.
76. Conjectures
related to sequence (P[n])^(1/n)
77. Gaps between
primes of the form p=qn+r
78. Pn^((Pn+1/Pn)^n)<=n^Pn
79.
Rodolfo Kurchan's
Conjecture
80.
Why 25?
81. For all primes p,
there is at least one k | that p^k =
p&y&p?
82. Average
of log Dn / log(logPn) equal R = 0,877 08...
83. Two
conjectures about primes
84. Conjecture
related to primes in A.P.
85. Conjectures
stricter that the Goldbach ones
86. The
Majid's Conjecture
87. A
partition of the first 2n+1 primes
88.
Special Goldbach Partitions
89. Limit
of R = AVSQr / SQRT[log(AV)] equal 1
90. Semiprimes/Primes
->log(2)
91. A conjecture about
strong primes
92. For any
integer m there is at least one set of consecutive primes...
93. Related to A103514
94. Follow-up
Conjecture 29
95.
Pascal triangle (2,1), two Conjectures
96.
OEIS A360827
97.
Another conjecture related to Mersenne primes
98. Using
AI to solve some Conjectures.
99. Conjecture related
to A362910.
100.
Rn = An / Gn
101.
Conjecture related to
A108309
102.
Conjecture related to
A359387
103.
(6*prime(n)-1)/n
104. R.
Farhadian's Conjecture
105. CONJECTURE
ABOUT TWIN PRIMES AND PSEUDOTWIN PRIMES to BASE 3
106. Conjecture
about gaps between consecutive primes.
107. The
Shyam's conjecture about square-free triangular numbers
108.
On the counting function of semiprimes
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