diff --git a/Library/Homebrew/dev-cmd/bump-formula-pr.rb b/Library/Homebrew/dev-cmd/bump-formula-pr.rb
index a718d92077..0744334108 100644
--- a/Library/Homebrew/dev-cmd/bump-formula-pr.rb
+++ b/Library/Homebrew/dev-cmd/bump-formula-pr.rb
@@ -314,7 +314,7 @@ module Homebrew
 
     new_formula_version = formula_version(formula, requested_spec, new_contents)
 
-    check_for_duplicate_pull_requests(formula, tap_full_name, new_formula_version.to_s)
+    GitHub.check_for_duplicate_pull_requests(formula, tap_full_name, new_formula_version.to_s)
 
     if !new_mirrors && !formula_spec.mirrors.empty?
       if args.force?
@@ -469,41 +469,6 @@ module Homebrew
     end
   end
 
-  def fetch_pull_requests(query, tap_full_name, state: nil)
-    GitHub.issues_for_formula(query, tap_full_name: tap_full_name, state: state).select do |pr|
-      pr["html_url"].include?("/pull/") &&
-        /(^|\s)#{Regexp.quote(query)}(:|\s|$)/i =~ pr["title"]
-    end
-  rescue GitHub::RateLimitExceededError => e
-    opoo e.message
-    []
-  end
-
-  def check_for_duplicate_pull_requests(formula, tap_full_name, version)
-    # check for open requests
-    pull_requests = fetch_pull_requests(formula.name, tap_full_name, state: "open")
-
-    # if we haven't already found open requests, try for an exact match across all requests
-    pull_requests = fetch_pull_requests("#{formula.name} #{version}", tap_full_name) if pull_requests.blank?
-    return if pull_requests.blank?
-
-    duplicates_message = <<~EOS
-      These pull requests may be duplicates:
-      #{pull_requests.map { |pr| "#{pr["title"]} #{pr["html_url"]}" }.join("\n")}
-    EOS
-    error_message = "Duplicate PRs should not be opened. Use --force to override this error."
-    if args.force? && !args.quiet?
-      opoo duplicates_message
-    elsif !args.force? && args.quiet?
-      odie error_message
-    elsif !args.force?
-      odie <<~EOS
-        #{duplicates_message.chomp}
-        #{error_message}
-      EOS
-    end
-  end
-
   def alias_update_pair(formula, new_formula_version)
     versioned_alias = formula.aliases.grep(/^.*@\d+(\.\d+)?$/).first
     return if versioned_alias.nil?
diff --git a/Library/Homebrew/dev-cmd/bump.rb b/Library/Homebrew/dev-cmd/bump.rb
new file mode 100644
index 0000000000..c8416b1ead
--- /dev/null
+++ b/Library/Homebrew/dev-cmd/bump.rb
@@ -0,0 +1,108 @@
+# frozen_string_literal: true
+
+require "cli/parser"
+
+module Homebrew
+  module_function
+
+  def bump_args
+    Homebrew::CLI::Parser.new do
+      usage_banner <<~EOS
+        `bump`
+
+        Display out-of-date brew formulae, the latest version available, and whether a pull request has been opened.
+      EOS
+      switch :verbose
+      switch :debug
+    end
+  end
+
+  def bump
+    bump_args.parse
+
+    outdated_repology_packages = Repology.parse_api_response
+    outdated_packages = validate_and_format_packages(outdated_repology_packages)
+
+    display(outdated_packages)
+  end
+
+  def validate_and_format_packages(outdated_repology_packages)
+    ohai "Verifying outdated repology packages as Homebrew formulae"
+
+    packages = {}
+    outdated_repology_packages.each do |_name, repositories|
+      # identify homebrew repo
+      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" }["version"]
+
+      packages[repology_homebrew_repo["srcname"]] = format_package(repology_homebrew_repo["srcname"], latest_version)
+    end
+    packages
+  end
+
+  def format_package(package_name, latest_version)
+    formula = get_formula_details(package_name)
+
+    return if formula.blank?
+
+    tap_full_name = formula.tap&.full_name
+    current_version = current_formula_version(formula)
+    livecheck_response = livecheck_formula(package_name)
+    pull_requests = GitHub.check_for_duplicate_pull_requests(formula, tap_full_name, latest_version, true)
+
+    {
+      repology_latest_version:  latest_version,
+      current_formula_version:  current_version.to_s,
+      livecheck_latest_version: livecheck_response[:livecheck_version],
+      open_pull_requests:       pull_requests,
+    }
+  end
+
+  def get_formula_details(formula_name)
+    Formula[formula_name]
+  rescue
+    nil
+  end
+
+  def current_formula_version(formula)
+    formula.version.to_s
+  end
+
+  def livecheck_formula(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)
+    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
+
+  def display(outdated_packages)
+    ohai "Outdated formulae\n"
+
+    outdated_packages.each do |formula, package_details|
+      ohai formula
+      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/utils.rb b/Library/Homebrew/utils.rb
index 254ac11ea1..d4307c5a30 100644
--- a/Library/Homebrew/utils.rb
+++ b/Library/Homebrew/utils.rb
@@ -10,8 +10,10 @@ require "utils/github"
 require "utils/inreplace"
 require "utils/link"
 require "utils/popen"
+require "utils/repology"
 require "utils/svn"
 require "utils/tty"
+require "utils/repology"
 require "tap_constants"
 require "time"
 
diff --git a/Library/Homebrew/utils/github.rb b/Library/Homebrew/utils/github.rb
index 4ac886a188..f40dba7fd3 100644
--- a/Library/Homebrew/utils/github.rb
+++ b/Library/Homebrew/utils/github.rb
@@ -346,6 +346,43 @@ module GitHub
     prs.each { |i| puts "#{i["title"]} (#{i["html_url"]})" }
   end
 
+  def fetch_pull_requests(query, tap_full_name, state: nil)
+    issues_for_formula(query, tap_full_name: tap_full_name, state: state).select do |pr|
+      pr["html_url"].include?("/pull/") &&
+        /(^|\s)#{Regexp.quote(query)}(:|\s|$)/i =~ pr["title"]
+    end
+  rescue GitHub::RateLimitExceededError => e
+    opoo e.message
+    []
+  end
+
+  def check_for_duplicate_pull_requests(formula, tap_full_name, version, fetch_pr = false)
+    # check for open requests
+    pull_requests = fetch_pull_requests(formula.name, tap_full_name, state: "open")
+
+    # if we haven't already found open requests, try for an exact match across all requests
+    pull_requests = fetch_pull_requests("#{formula.name} #{version}", tap_full_name) if pull_requests.blank?
+    return if pull_requests.blank?
+
+    return pull_requests.map { |pr| { title: pr["title"], url: pr["html_url"] } } if fetch_pr
+
+    duplicates_message = <<~EOS
+      These pull requests may be duplicates:
+      #{pull_requests.map { |pr| "#{pr["title"]} #{pr["html_url"]}" }.join("\n")}
+    EOS
+    error_message = "Duplicate PRs should not be opened. Use --force to override this error."
+    if Homebrew.args.force? && !Homebrew.args.quiet?
+      opoo duplicates_message
+    elsif !Homebrew.args.force? && Homebrew.args.quiet?
+      odie error_message
+    elsif !Homebrew.args.force?
+      odie <<~EOS
+        #{duplicates_message.chomp}
+        #{error_message}
+      EOS
+    end
+  end
+
   def create_fork(repo)
     url = "#{API_URL}/repos/#{repo}/forks"
     data = {}
diff --git a/Library/Homebrew/utils/repology.rb b/Library/Homebrew/utils/repology.rb
new file mode 100644
index 0000000000..877c6eeef1
--- /dev/null
+++ b/Library/Homebrew/utils/repology.rb
@@ -0,0 +1,42 @@
+# 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 parse_api_response
+    ohai "Querying outdated packages from Repology"
+
+    outdated_packages = query_api
+    last_package_index = outdated_packages.size - 1
+    response_size = outdated_packages.size
+    page_no = 1
+
+    while response_size > 1 && page_no <= MAX_PAGINATION
+      odebug "Paginating Repology API page: #{page_no}"
+
+      last_package_in_response = outdated_packages.keys[last_package_index]
+      response = query_api(last_package_in_response)
+
+      response_size = response.size
+      outdated_packages.merge!(response)
+      last_package_index = outdated_packages.size - 1
+      page_no += 1
+    end
+
+    ohai "#{outdated_packages.size} outdated #{"package".pluralize(outdated_packages.size)} identified"
+
+    outdated_packages
+  end
+end
diff --git a/completions/internal_commands_list.txt b/completions/internal_commands_list.txt
index 3beacf0b09..efdf978359 100644
--- a/completions/internal_commands_list.txt
+++ b/completions/internal_commands_list.txt
@@ -12,6 +12,7 @@ abv
 analytics
 audit
 bottle
+bump
 bump-formula-pr
 bump-revision
 cask
diff --git a/docs/Manpage.md b/docs/Manpage.md
index 2aa5bc9ed3..7579dca506 100644
--- a/docs/Manpage.md
+++ b/docs/Manpage.md
@@ -696,6 +696,11 @@ at its original 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`
+
+Display out-of-date brew formulae, the latest version available, and whether a
+pull request has been opened.
+
 ### `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 525eeddfd8..556e11ca3e 100644
--- a/manpages/brew.1
+++ b/manpages/brew.1
@@ -906,6 +906,9 @@ 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"
+Display out\-of\-date brew formulae, the latest version available, and whether a pull request has been opened\.
+.
 .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\.
 .