diff --git a/Library/Homebrew/dev-cmd/bump.rb b/Library/Homebrew/dev-cmd/bump.rb
new file mode 100644
index 0000000000000000000000000000000000000000..fe04da322566a07d34526e3aaeee4fe7714982f7
--- /dev/null
+++ b/Library/Homebrew/dev-cmd/bump.rb
@@ -0,0 +1,86 @@
+# frozen_string_literal: true
+
+require "cli/parser"
+
+module Homebrew
+  module_function
+
+  def bump_args
+    Homebrew::CLI::Parser.new do
+      usage_banner <<~EOS
+        `bump` [<options>] [<formula>]
+
+        Display out-of-date brew formulae and the latest version available.
+        Also displays whether a pull request has been opened with the URL.
+      EOS
+      flag "--limit=",
+           description: "Limit number of package results returned."
+      switch :verbose
+      switch :debug
+    end
+  end
+
+  def bump
+    args = bump_args.parse
+
+    requested_formulae = args.formulae.map(&:name) if args.formulae.present?
+
+    requested_limit = args.limit.to_i if args.limit.present?
+
+    repology_data = if requested_formulae
+      response = {}
+      requested_formulae.each do |formula|
+        raise FormulaUnavailableError, formula unless validate_formula(formula)
+
+        package_data = Repology.single_package_query(formula)
+        response[package_data.keys.first] = package_data.values.first if package_data
+      end
+
+      response
+    else
+      Repology.parse_api_response(requested_limit)
+    end
+
+    validated_formulae = {}
+
+    validated_formulae = Repology.validate_and_format_packages(repology_data, requested_limit) if repology_data
+
+    if requested_formulae
+      repology_excluded_formulae = requested_formulae.reject do |formula|
+        repology_data[formula]
+      end
+
+      formulae = {}
+      repology_excluded_formulae.each do |formula|
+        formulae[formula] = Repology.format_package(formula, nil)
+      end
+
+      formulae.each { |formula, data| validated_formulae[formula] = data }
+    end
+
+    display(validated_formulae)
+  end
+
+  def validate_formula(formula_name)
+    Formula[formula_name]
+  rescue
+    nil
+  end
+
+  def up_to_date?(package)
+    package &&
+      package[:current_formula_version] == package[:repology_latest_version] &&
+      package[:current_formula_version] == package[:livecheck_latest_version]
+  end
+
+  def display(formulae)
+    formulae.each do |formula, package_details|
+      title = (up_to_date?(package_details) ? "#{formula} is up to date!" : formula).to_s
+      ohai title
+      puts "Current formula version:  #{package_details[:current_formula_version]}"
+      puts "Latest Repology version:  #{package_details[:repology_latest_version]}"
+      puts "Latest livecheck version: #{package_details[:livecheck_latest_version]}"
+      puts "Open pull requests:       #{package_details[:open_pull_requests]}"
+    end
+  end
+end
diff --git a/Library/Homebrew/test/dev-cmd/bump_spec.rb b/Library/Homebrew/test/dev-cmd/bump_spec.rb
new file mode 100644
index 0000000000000000000000000000000000000000..81b22e319baa97dc315c09d2d14c414ed3c56eed
--- /dev/null
+++ b/Library/Homebrew/test/dev-cmd/bump_spec.rb
@@ -0,0 +1,30 @@
+# frozen_string_literal: true
+
+require "cmd/shared_examples/args_parse"
+
+describe "brew bump" do
+  describe "Homebrew.bump_args" do
+    it_behaves_like "parseable arguments"
+  end
+
+  describe "formula", :integration_test do
+    it "returns data for single valid specified formula" do
+      install_test_formula "testball"
+
+      expect { brew "bump", "testball" }
+        .to output.to_stdout
+        .and not_to_output.to_stderr
+        .and be_a_success
+    end
+
+    it "returns data for multiple valid specified formula" do
+      install_test_formula "testball"
+      install_test_formula "testball2"
+
+      expect { brew "bump", "testball", "testball2" }
+        .to output.to_stdout
+        .and not_to_output.to_stderr
+        .and be_a_success
+    end
+  end
+end
diff --git a/Library/Homebrew/test/utils/livecheck_formula_spec.rb b/Library/Homebrew/test/utils/livecheck_formula_spec.rb
new file mode 100644
index 0000000000000000000000000000000000000000..41ffe71132d3e5d275e33b86237b87c282884051
--- /dev/null
+++ b/Library/Homebrew/test/utils/livecheck_formula_spec.rb
@@ -0,0 +1,38 @@
+# frozen_string_literal: true
+
+require "utils/livecheck_formula"
+require "formula_installer"
+
+describe LivecheckFormula do
+  describe "init" do
+    let(:f) { formula { url "foo-1.0" } }
+    let(:options) { FormulaInstaller.new(f).display_options(f) }
+    let(:action)  { "#{f.full_name} #{options}".strip }
+
+    it "runs livecheck command for Formula" do
+      formatted_response = described_class.init(action)
+
+      expect(formatted_response).not_to be_nil
+      expect(formatted_response).to be_a(Hash)
+      expect(formatted_response.size).not_to eq(0)
+    end
+  end
+
+  describe "parse_livecheck_response" do
+    it "returns a hash of Formula version data" do
+      example_raw_command_response = "aacgain : 7834 ==> 1.8"
+      formatted_response = described_class.parse_livecheck_response(example_raw_command_response)
+
+      expect(formatted_response).not_to be_nil
+      expect(formatted_response).to be_a(Hash)
+
+      expect(formatted_response).to include(:name)
+      expect(formatted_response).to include(:formula_version)
+      expect(formatted_response).to include(:livecheck_version)
+
+      expect(formatted_response[:name]).to eq("aacgain")
+      expect(formatted_response[:formula_version]).to eq("7834")
+      expect(formatted_response[:livecheck_version]).to eq("1.8")
+    end
+  end
+end
diff --git a/Library/Homebrew/test/utils/repology_spec.rb b/Library/Homebrew/test/utils/repology_spec.rb
new file mode 100644
index 0000000000000000000000000000000000000000..ff3bbde90912bfcaa85a6320e39df1c201c5e1d5
--- /dev/null
+++ b/Library/Homebrew/test/utils/repology_spec.rb
@@ -0,0 +1,36 @@
+# frozen_string_literal: true
+
+require "utils/repology"
+
+describe Repology do
+  describe "formula_data" do
+    it "returns nil for invalid Homebrew Formula" do
+      expect(described_class.formula_data("invalidName")).to be_nil
+    end
+  end
+
+  describe "single_package_query" do
+    it "returns nil for non-existent package" do
+      response = described_class.single_package_query("invalidName")
+
+      expect(response).to be_nil
+    end
+
+    it "returns a hash for existing package" do
+      response = described_class.single_package_query("openclonk")
+
+      expect(response).not_to be_nil
+      expect(response).to be_a(Hash)
+    end
+  end
+
+  describe "parse_api_response" do
+    limit = 1
+    response = described_class.parse_api_response(limit)
+
+    it "returns a hash of data" do
+      expect(response).not_to be_nil
+      expect(response).to be_a(Hash)
+    end
+  end
+end
diff --git a/Library/Homebrew/utils.rb b/Library/Homebrew/utils.rb
index 0c4068c89e3c9f1b2a1c7d916f6fe3f26b243e80..7533e66b6e71dba1b44be4689d32f9ad2801b220 100644
--- a/Library/Homebrew/utils.rb
+++ b/Library/Homebrew/utils.rb
@@ -9,7 +9,9 @@ require "utils/git"
 require "utils/github"
 require "utils/inreplace"
 require "utils/link"
+require "utils/livecheck_formula"
 require "utils/popen"
+require "utils/repology"
 require "utils/svn"
 require "utils/tty"
 require "tap_constants"
diff --git a/Library/Homebrew/utils/livecheck_formula.rb b/Library/Homebrew/utils/livecheck_formula.rb
new file mode 100644
index 0000000000000000000000000000000000000000..9a52fa1d9e8d9859e9d03f240a4f8c69708e853b
--- /dev/null
+++ b/Library/Homebrew/utils/livecheck_formula.rb
@@ -0,0 +1,27 @@
+# frozen_string_literal: true
+
+module LivecheckFormula
+  module_function
+
+  def init(formula)
+    ohai "Checking livecheck formula: #{formula}" if Homebrew.args.verbose?
+
+    response = Utils.popen_read(HOMEBREW_BREW_FILE, "livecheck", formula, "--quiet").chomp
+
+    parse_livecheck_response(response)
+  end
+
+  def parse_livecheck_response(response)
+    # e.g response => aacgain : 7834 ==> 1.8
+    output = response.delete(" ").split(/:|==>/)
+
+    # e.g. ["openclonk", "7.0", "8.1"]
+    package_name, brew_version, latest_version = output
+
+    {
+      name:              package_name,
+      formula_version:   brew_version,
+      livecheck_version: latest_version,
+    }
+  end
+end
diff --git a/Library/Homebrew/utils/repology.rb b/Library/Homebrew/utils/repology.rb
new file mode 100644
index 0000000000000000000000000000000000000000..0d367be39657c91ca02140c384fddb71c74b6813
--- /dev/null
+++ b/Library/Homebrew/utils/repology.rb
@@ -0,0 +1,115 @@
+# frozen_string_literal: true
+
+require "utils/curl"
+
+module Repology
+  module_function
+
+  MAX_PAGINATION = 15
+
+  def query_api(last_package_in_response = "")
+    last_package_in_response += "/" if last_package_in_response.present?
+    url = "https://repology.org/api/v1/projects/#{last_package_in_response}?inrepo=homebrew&outdated=1"
+
+    output, _errors, _status = curl_output(url.to_s)
+    JSON.parse(output)
+  end
+
+  def single_package_query(name)
+    url = "https://repology.org/api/v1/project/#{name}"
+
+    output, _errors, _status = curl_output(url.to_s)
+    data = JSON.parse(output)
+
+    homebrew = data.select do |repo|
+      repo["repo"] == "homebrew"
+    end
+
+    homebrew.empty? ? nil : { name => data }
+  end
+
+  def parse_api_response(limit = nil)
+    ohai "Querying outdated packages from Repology"
+
+    page_no = 1
+    outdated_packages = {}
+    last_package_index = ""
+
+    while page_no <= MAX_PAGINATION
+      odebug "Paginating Repology API page: #{page_no}"
+
+      response = query_api(last_package_index)
+      response_size = response.size
+      outdated_packages.merge!(response)
+      last_package_index = outdated_packages.size - 1
+
+      page_no += 1
+      break if limit && outdated_packages.size >= limit || response_size <= 1
+    end
+
+    puts "#{outdated_packages.size} outdated #{"package".pluralize(outdated_packages.size)} found"
+    puts
+
+    outdated_packages
+  end
+
+  def validate_and_format_packages(outdated_repology_packages, limit)
+    if outdated_repology_packages.size > 10 && (limit.blank? || limit > 10)
+      ohai "Verifying outdated repology packages"
+    end
+
+    packages = {}
+
+    outdated_repology_packages.each do |_name, repositories|
+      repology_homebrew_repo = repositories.find do |repo|
+        repo["repo"] == "homebrew"
+      end
+
+      next if repology_homebrew_repo.blank?
+
+      latest_version = repositories.find { |repo| repo["status"] == "newest" }
+
+      next if latest_version.blank?
+
+      latest_version = latest_version["version"]
+      srcname = repology_homebrew_repo["srcname"]
+      package_details = format_package(srcname, latest_version)
+      packages[srcname] = package_details unless package_details.nil?
+
+      break if limit && packages.size >= limit
+    end
+
+    packages
+  end
+
+  def format_package(package_name, latest_version)
+    formula = formula_data(package_name)
+
+    return if formula.blank?
+
+    formula_name = formula.to_s
+    tap_full_name = formula.tap&.full_name
+    current_version = formula.version.to_s
+    livecheck_response = LivecheckFormula.init(package_name)
+    pull_requests = GitHub.fetch_pull_requests(formula_name, tap_full_name, state: "open")
+
+    if pull_requests.try(:any?)
+      pull_requests = pull_requests.map { |pr| "#{pr["title"]} (#{Formatter.url(pr["html_url"])})" }.join(", ")
+    end
+
+    pull_requests = "none" if pull_requests.blank?
+
+    {
+      repology_latest_version:  latest_version || "not found",
+      current_formula_version:  current_version.to_s,
+      livecheck_latest_version: livecheck_response[:livecheck_version] || "not found",
+      open_pull_requests:       pull_requests,
+    }
+  end
+
+  def formula_data(package_name)
+    Formula[package_name]
+  rescue
+    nil
+  end
+end
diff --git a/completions/internal_commands_list.txt b/completions/internal_commands_list.txt
index f768c56229504467694db79abf6b0402e931d195..474f832272d4dfbe48a098504dd2cd8c6b33e239 100644
--- a/completions/internal_commands_list.txt
+++ b/completions/internal_commands_list.txt
@@ -13,6 +13,7 @@ abv
 analytics
 audit
 bottle
+bump
 bump-formula-pr
 bump-revision
 cask
diff --git a/docs/Manpage.md b/docs/Manpage.md
index d35cd591fff3646aa0ba1a919fa63aeec1236a71..3c0ebe39db17619cf2ee21afa2a144714488b068 100644
--- a/docs/Manpage.md
+++ b/docs/Manpage.md
@@ -817,6 +817,14 @@ value, while `--no-rebuild` will remove it.
 * `--root-url`:
   Use the specified *`URL`* as the root of the bottle's URL instead of Homebrew's default.
 
+### `bump` [*`options`*] [*`formula`*]
+
+Display out-of-date brew formulae and the latest version available.
+Also displays whether a pull request has been opened with the URL.
+
+* `--limit`:
+  Limit number of package results returned.
+
 ### `bump-formula-pr` [*`options`*] [*`formula`*]
 
 Create a pull request to update *`formula`* with a new URL or a new tag.
diff --git a/manpages/brew.1 b/manpages/brew.1
index 120e68cf37497fbab7b44c901b012815b931bc8d..1fda57a44403bf4c71cf63cf6494cea92e08410a 100644
--- a/manpages/brew.1
+++ b/manpages/brew.1
@@ -1139,6 +1139,13 @@ When passed with \fB\-\-write\fR, a new commit will not generated after writing
 \fB\-\-root\-url\fR
 Use the specified \fIURL\fR as the root of the bottle\'s URL instead of Homebrew\'s default\.
 .
+.SS "\fBbump\fR [\fIoptions\fR] [\fIformula\fR]"
+Display out\-of\-date brew formulae and the latest version available\. Also displays whether a pull request has been opened with the URL\.
+.
+.TP
+\fB\-\-limit\fR
+Limit number of package results returned\.
+.
 .SS "\fBbump\-formula\-pr\fR [\fIoptions\fR] [\fIformula\fR]"
 Create a pull request to update \fIformula\fR with a new URL or a new tag\.
 .